
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
During the "Golden Week" promotion of a certain store last year, the total turnover for the first six days was $450$ million yuan, and the turnover on the seventh day was $12\%$ of the total turnover of the first six days.<br/>$(1)$ Find the total turnover of the store for these seven days during last year's "Golden Week";<br/>$(2)$ Last year, the turnover of the store in July was $350$ million yuan, the monthly growth rates of turnover in August and September were the same, and the total turnover of these seven days during "Golden Week" was equal to the turnover in September. Find the monthly growth rate of turnover for the store in August and September last year.

Present the answer in LaTex format: \boxed{Your answer}
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