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There is no equivalence.

A linear yard is a measure of length or distance in 1-dimensional space while a square metre is a measure of area in 2-dimensional space. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid.

In the case of the material being measured in linear yards, the width is a constant that is implicitly known to those using the measure. It could, for example, be the standard width of fabric, or rolls or paper.

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Q: What is 55 grams per linear yard in grams per square meter?
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