Neither of these reaction equations is balanced, so while you can be right about molar ratio of the neutralization reaction, reaction doesn't go as written.
Please note it is impossible to tell what is the neutralization reaction without knowing what the compound is. Chemspider reports over 3000 compound with this formula. Single nitrogen is a strong suggestion reaction goes 1:1, but it is not guaranteed (actually it is not guaranteed that the reaction goes at all).
Assuming 1:1 you are right about the mass of HCl required, and yes now you need to convert that mass to the volume of the 36.2% w/w solution. You don't need number of moles for that - you can easily calculate mass of the solution. However, you will need density of the solution to convert mass to the volume. Going through moles is a detour, and is not going to change need for the solution density.