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Finding the Third Proportional to 664,456 and 996,475

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Solution

The third proportional to 664,456 and 996,475 is: 1,494,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,456 : 996,475 = 996,475 : x
  2. Step 2: Convert to fraction form
    664,456/996,475 = 996,475/x
  3. Step 3: Cross multiply
    664,456x = 996,475 × 996,475
  4. Step 4: Simplify right side
    664,456x = 992,962,425,625
  5. Step 5: Solve for x
    x = 992,962,425,625/664,456
  6. Step 6: Final answer
    x = 1,494,399.07

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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.