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Finding the Third Proportional to 468,972 and 726,624

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Solution

The third proportional to 468,972 and 726,624 is: 1,125,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,972 : 726,624 = 726,624 : x
  2. Step 2: Convert to fraction form
    468,972/726,624 = 726,624/x
  3. Step 3: Cross multiply
    468,972x = 726,624 × 726,624
  4. Step 4: Simplify right side
    468,972x = 527,982,437,376
  5. Step 5: Solve for x
    x = 527,982,437,376/468,972
  6. Step 6: Final answer
    x = 1,125,829.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.