
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
Given that a factory produced 100,000 units in the first quarter and 364,000 units in the first three quarters, and the growth rates in the second and third quarters are the same, denoted as $x$, determine the equation that represents the production in the first three quarters.

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