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Finding the Third Proportional to 234,141 and 497,439

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Solution

The third proportional to 234,141 and 497,439 is: 1,056,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,141 : 497,439 = 497,439 : x
  2. Step 2: Convert to fraction form
    234,141/497,439 = 497,439/x
  3. Step 3: Cross multiply
    234,141x = 497,439 × 497,439
  4. Step 4: Simplify right side
    234,141x = 247,445,558,721
  5. Step 5: Solve for x
    x = 247,445,558,721/234,141
  6. Step 6: Final answer
    x = 1,056,822.85

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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.