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"approximated amount" is a correct and usable phrase in written English
You can use it in contexts where you want to describe a number or quantity that is not exact or precise, such as "The approximated amount of people at the convention was between 500 and 600."
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To this end, we used artificial nest scrapes, and approximated the amount of energy an artificial brood-patch consumed when a nest scrape either contained a heating egg (heating experiment) or was insulated (insulation experiment).
For this purpose, we approximated the amount of caspases-7 by the linear function of caspase-3 concentration: (12) C casp 7 ≈ a · C casp 3, where a = 0.18 for both activation scenarios.
He currently earns gross regular income of $2,420 per month, plus overtime in the approximate amount of $643 per month, for a total gross monthly income of approximately $3,063 per month.
What is the approximate amount of moisture required in the endosperm for a poppable kernel?
37 Approximate amount in tens of millions ($375m in total) raised by the Hillary Clinton campaign up to June 2016.
A chart with the article misstated the approximate amount to be given to the Vivian Beaumont Theater.
The courses line-out an approximate amount of hours they will take each week, as well as the duration of the course.
Individual travelers can get into the mix by going to one of several carbon-offset Web sites, like www.carbonoffsets.org or www.terrapass.com, and using an online "carbon calculator" to determine the approximate amount of carbon dioxide produced when they travel.
Mathematics: Calculate the energy needs of your own town, state, or region, based on the information given in the article that one megawatt is the approximate amount of electricity needed to power 1,000 homes.
Mr. Markowitz added, "Nowhere does anyone explain why Hovnanian paid in excess of $200,000 to Donald DiFrancesco but yet did not pay the outstanding taxes in the approximate amount of $85,000".
$60 Billion: The approximate amount that extending the Bush tax cuts on income above $250,000 a year — which Congress seems on the verge of doing — will cost a year, in inflation-adjusted terms.
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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