Why not just use the Windows 10 Pro product key to upgrade the Windows 10 Home installation to Pro?
Review instructions how to perform an Easy Upgrade using the default key:
How to Perform an Easy Upgrade in Windows 10
http://answers.microsoft.com/en-us/windows/wiki...
Click Start > Settings > Update & security > Activation > Change the product key then enter the new product key then click Next to Activate
or
Step 1: How to download official Windows 10 ISO file then create a bootable copy on an empty USB thumb drive:
http://answers.microsoft.com/en-us/windows/wiki...
Create a PID.txt file containing the following text:
[PID]
Value=XXXXX-XXXXX-XXXXX-XXXXX-XXXXX
The Xs get replaced with your Windows 10 Pro product key. If your Windows 10 Pro activation is with a digital license, then insert the generic product key: VK7JG-NPHTM-C97JM-9MPGT-3V66T
Save the PID.txt file to the \Sources folder on your Windows 10 installation media (USB flash drive).
Windows 10 decides which version (Home or Pro) to install in the following order:
1. Finding a product key in the PID.txt file
2. Finding a product key in UEFI/BIOS
3. The user manually enters a product key when asked for one
4. No product key is found or entered - then the user is asked for Home or Pro
Step 2: How to: Perform a clean install of Windows 10
http://answers.microsoft.com/en-us/insider/wiki...