
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 a parabola $y^{2}=2px(p > 0)$, its focus is $F$, and points $A$ and $B$ are on this parabola such that $\angle AFB={{90}^{0}}$. The midpoint of the chord $AB$ is $M$, and its projection on the axis of the parabola is $M"'$. Determine the maximum value of $\frac{\left| M{M}^{"} \right|}{\left| AB \right|}$.

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