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Finding the Third Proportional to 217,344 and 332,474

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Solution

The third proportional to 217,344 and 332,474 is: 508,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,344 : 332,474 = 332,474 : x
  2. Step 2: Convert to fraction form
    217,344/332,474 = 332,474/x
  3. Step 3: Cross multiply
    217,344x = 332,474 × 332,474
  4. Step 4: Simplify right side
    217,344x = 110,538,960,676
  5. Step 5: Solve for x
    x = 110,538,960,676/217,344
  6. Step 6: Final answer
    x = 508,589.89

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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.