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"per one" is correct and can be used in written English.
It is often used to indicate a single unit of something, such as one item or person. For example, "This muffin costs six dollars per one."
Exact(54)
Two regions of interest measuring 200 × 200 μm were established on each tumour per one section.
St . LouisPolice Department had a rate of 9.5 police killings per one million residents, while Baltimore's was 4.8 per one million.
"Magnificent and joyful," as per one early French source.
b Linear QD density per one groove.
The number of particles per one person was 500.
The current signal travels 4.17 km per one time step.
Similar(5)
Ryanair charges £6 per passenger per one-way flight.
The rubber company was paying the villagers $73 a year per one-sixth of an acre.
The total exchange current per one-electron electrode reaction was estimated as 83 mA/cm2.
a Odds ratio per one-unit change.
bOdds ratios per one-unit increase.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com