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"following a proposal" is grammatically correct and can be used in written English.
It is typically used to indicate that the action or event mentioned in the sentence occurred after a proposal was made. Example: Following a proposal from the company, the employees voted to increase their salaries by 10%.
Exact(33)
Viscosity and conductivity data have been treated following a proposal of Angell.
Viscosity and conductivity have also been analysed, following a proposal of Angell, with an extended Arrhenius equation used in the treatment of transport in glass-forming liquid.
The club said on their official website: "The FC Barcelona board of directors have this evening confirmed Luís Enrique Martínez as the new first-team coach, following a proposal from sporting director Andoni Zubizarreta.
The Prime Minister was forced to deny yesterday that the Government had any plans to allow wealthy students to buy places at the country's most elite universities, following a proposal floated by the Universities minister.
The company additionally served notice it is contemplating purchases to increase its naval business, following a proposal last March to take over naval and military supply firm Babcock International in a joint bid with shipbuilder VT Group.
In February, a row over tipping erupted at TGI Fridays, the American restaurant chain, following a proposal to redistribute card payment tips from waiters to kitchen staff in lieu of a wage increase.
Similar(27)
Kohlberg, Kravis has offered $90 a share following a buyout proposal from RJR Nabisco management for $75 a share.
He reluctantly resigned, following a botched proposal to hold a referendum on the euro zone's plans for Greece.
The discussions here began this week following a Russian proposal Monday, quickly agreed to by Assad, to place Syria's chemical arsenal under international control and eventually destroy it.
The idea of longer repayments was first considered by EU finance ministers in January, following a joint proposal from Ireland and Portugal.
The ATF has been without a permanent director since 2015, when B. Todd Jones resigned following a controversial proposal by the agency to ban bullets that could pierce bullet-proof vests.
More suggestions(19)
following a project
following a submission
following a application
implementing a proposal
adopting a proposal
following a presentation
following a budget
following a motion
following a relationship
following a stroke
following a trend
following a topic
following a streambed
for a proposal
following a leader
following a puppy
following a manhunt
following a conversation
continued a proposal
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com