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Finding the Third Proportional to 234,154 and 497,463

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Solution

The third proportional to 234,154 and 497,463 is: 1,056,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,154 : 497,463 = 497,463 : x
  2. Step 2: Convert to fraction form
    234,154/497,463 = 497,463/x
  3. Step 3: Cross multiply
    234,154x = 497,463 × 497,463
  4. Step 4: Simplify right side
    234,154x = 247,469,436,369
  5. Step 5: Solve for x
    x = 247,469,436,369/234,154
  6. Step 6: Final answer
    x = 1,056,866.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.