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Finding the Third Proportional to 413,691 and 632,565

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Solution

The third proportional to 413,691 and 632,565 is: 967,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,691 : 632,565 = 632,565 : x
  2. Step 2: Convert to fraction form
    413,691/632,565 = 632,565/x
  3. Step 3: Cross multiply
    413,691x = 632,565 × 632,565
  4. Step 4: Simplify right side
    413,691x = 400,138,479,225
  5. Step 5: Solve for x
    x = 400,138,479,225/413,691
  6. Step 6: Final answer
    x = 967,239.99

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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.