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Finding the Third Proportional to 475,830 and 645,924

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Solution

The third proportional to 475,830 and 645,924 is: 876,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,830 : 645,924 = 645,924 : x
  2. Step 2: Convert to fraction form
    475,830/645,924 = 645,924/x
  3. Step 3: Cross multiply
    475,830x = 645,924 × 645,924
  4. Step 4: Simplify right side
    475,830x = 417,217,813,776
  5. Step 5: Solve for x
    x = 417,217,813,776/475,830
  6. Step 6: Final answer
    x = 876,821.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.