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Finding the Third Proportional to 664,446 and 996,463

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Solution

The third proportional to 664,446 and 996,463 is: 1,494,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,446 : 996,463 = 996,463 : x
  2. Step 2: Convert to fraction form
    664,446/996,463 = 996,463/x
  3. Step 3: Cross multiply
    664,446x = 996,463 × 996,463
  4. Step 4: Simplify right side
    664,446x = 992,938,510,369
  5. Step 5: Solve for x
    x = 992,938,510,369/664,446
  6. Step 6: Final answer
    x = 1,494,385.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.