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Finding the Third Proportional to 217,327 and 332,448

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Solution

The third proportional to 217,327 and 332,448 is: 508,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,327 : 332,448 = 332,448 : x
  2. Step 2: Convert to fraction form
    217,327/332,448 = 332,448/x
  3. Step 3: Cross multiply
    217,327x = 332,448 × 332,448
  4. Step 4: Simplify right side
    217,327x = 110,521,672,704
  5. Step 5: Solve for x
    x = 110,521,672,704/217,327
  6. Step 6: Final answer
    x = 508,550.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.