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Finding the Third Proportional to 410,533 and 653,744

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Solution

The third proportional to 410,533 and 653,744 is: 1,041,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,533 : 653,744 = 653,744 : x
  2. Step 2: Convert to fraction form
    410,533/653,744 = 653,744/x
  3. Step 3: Cross multiply
    410,533x = 653,744 × 653,744
  4. Step 4: Simplify right side
    410,533x = 427,381,217,536
  5. Step 5: Solve for x
    x = 427,381,217,536/410,533
  6. Step 6: Final answer
    x = 1,041,039.86

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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.