
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 Alicia has three containers. The first is $\frac{3}{4}$ full of water, and the other two are empty. She pours all the water from the first container into the second container, filling it to $\frac{5}{8}$ full. She then transfers water from the second container to the third container, filling it to $\frac{1}{2}$. Calculate the ratio of the volume of the first container to the third container.

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