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The phrase "a population of roughly" is correct and usable in written English.
It can be used when providing an approximate number or estimate of a population size in various contexts, such as demographics, research, or statistics.
Example: "The city has a population of roughly 500,000 residents, making it one of the largest in the region."
Alternatives: "an estimated population of" or "approximately".
Exact(58)
The Greater Seattle Area has a population of roughly 3.8 million people, making Seattle now the 23rd most populous city in the U.S. Silicon Valley is comparable in size with a population of between 3.5 to 4 million people, depending on the geographic communities attributed to the region.
Inner-city Baltimore has a population of roughly 630,000.
Paris has a population of roughly 26,000.
The town, in the northeast corner of the county, has a population of roughly 5,000.
Perm, with a population of roughly one million, is one of Russia's largest cities.
The island has a population of roughly 70 people, all of whom were up for a good time.
In Lebanon, a tiny country with a population of roughly 4.5 million, there are up to 1.2 million refugees.
Myanmar has a population of roughly fifty-one million, but Facebook has made it feel like a much smaller place.
Between 10,000 and 30,000 of them died either during the fighting or were summarily executed afterwards Population In 1871 France had a population of roughly 36.1m.
The Kremlin now acknowledges that 162 South Ossetian civilians died in the war, out of a population of roughly 70,000.
Similar(1)
In an effort to crack down on illegal immigration in a state with an population of roughly 460,000 undocumented immigrants at the time, the 2010 law required police officers to check the immigration status of people they stopped, among other provisions.
More suggestions(16)
a parallelogram of roughly
a rate of roughly
a maximum of roughly
a drop of roughly
a valuation of roughly
a saving of roughly
a cost of roughly
a payoff of roughly
a ride of roughly
a toll of roughly
a royalty of roughly
a zone of roughly
a gap of roughly
a deficit of roughly
a transfer of roughly
a team of roughly
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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