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The phrase "a third of total" is correct and usable in written English.
It can be used when referring to a portion or fraction of a whole amount or quantity.
Example: "The survey results showed that a third of total respondents preferred option A over option B."
Alternatives: "one-third of the total" or "33% of the total".
Exact(57)
It constitutes close to a third of total government expenditure.
From 2003 to 2008, membership of women nearly doubled, composing about a third of total membership.
"In Australia, exports to China are a third of total exports.
Oil accounts for more than a third of total government revenue.
They make up nearly a third of total filings in May.
The oil firm still provides more than a third of total government revenues.
Your main engine for growth is your services business, where you currently generate more than a third of total sales.
Women's athletic footwear accounts for a third of total sales, according to the NPD Group, a market researcher.
Internet and data services sales surged 150percentt and now make up more than a third of total revenues.
Gas exports to Argentina and Brazil have quintupled since 2000 to $620m, about a third of total exports.
Around the world 1.3 billion people, most of them poor, raise animals, accounting for a third of total agricultural GDP.
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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