Dictator's propagated way to produce prairie turnip (9)

'prairie turnip' is the definition.
The definition and answer can be both plants as well as being singular nouns.
Maybe there's a link between them I don't understand?

'dictator's propagated way to' is the wordplay.
'dictator's' indicates a 'sounds like' (homophone) clue (as somebody dictating would pronounce the word).
'propagated' becomes 'bred' (I've seen this before).
'way' becomes 'R' (abbreviation for right).
'to' becomes 'oot' (I can't justify this - if you can you should believe this answer much more).
'bred' sounds like 'bread'.
'bread'+'r'+'oot'='BREADROOT'

'produce' acts as a link.

Can you help me to learn more?