
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
A school holds a legal knowledge contest, with several first, second, and third prizes awarded. The number of students who win first and second prizes accounts for $\frac{3}{4}$ of the total number of prize winners, and the number of students who win second and third prizes accounts for $\frac{2}{3}$ of the total number of prize winners. The proportion of the total number of prize winners who win second prize is ______.

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