The difference comes from the fact that dissolved nitrate is expressed in mg/L (as N), and the calculated value is converting the results to mg/L (NO3).
Take the data below as an example:
When a result of nitrate (as N) of 2.2 mg/L (as N) are converted to NO3, the molecular weight will be used:
Dissolved NO3 (as N) * [molecular weight NO3 / molecular weight N] = Dissolved NO3 (as NO3)
2.2 mg/L * [62.0049/14.0067] = 9.74 mg/L