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Thus, the sum is \( \boxed{13} \).
Question: Let \( x, y, z \) be positive real numbers such that \( x + y + z = 3 \). Find the minimum value of \( \frac{x^2}{y} + \frac{y^2}{z} + \frac{z^2}{x} \).
Solution: Apply the **Cauchy-Schwarz Inequality** in the Engel form (also known as Titu’s Lemma):

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