The line \( y - \sqrt{3}x + 3 = 0 \) cuts the parabola \( y^2 = x + 2 \) at the points \( P \) and \( Q \). If the coordinates of the point \( X \) are \( (\sqrt{3}, 0) \), then the value of \( XP \cdot XQ \) is:
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For product of distances:
\begin{itemize}
\item Use Vieta formulas.
\item Convert distances into algebraic expressions.
\end{itemize}