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Finding the Third Proportional to 323,732 and 479,317

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Solution

The third proportional to 323,732 and 479,317 is: 709,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,732 : 479,317 = 479,317 : x
  2. Step 2: Convert to fraction form
    323,732/479,317 = 479,317/x
  3. Step 3: Cross multiply
    323,732x = 479,317 × 479,317
  4. Step 4: Simplify right side
    323,732x = 229,744,786,489
  5. Step 5: Solve for x
    x = 229,744,786,489/323,732
  6. Step 6: Final answer
    x = 709,675.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.