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Finding the Third Proportional to 412,496 and 656,368

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Solution

The third proportional to 412,496 and 656,368 is: 1,044,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,496 : 656,368 = 656,368 : x
  2. Step 2: Convert to fraction form
    412,496/656,368 = 656,368/x
  3. Step 3: Cross multiply
    412,496x = 656,368 × 656,368
  4. Step 4: Simplify right side
    412,496x = 430,818,951,424
  5. Step 5: Solve for x
    x = 430,818,951,424/412,496
  6. Step 6: Final answer
    x = 1,044,419.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.