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Finding the Third Proportional to 664,625 and 974,730

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Solution

The third proportional to 664,625 and 974,730 is: 1,429,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,625 : 974,730 = 974,730 : x
  2. Step 2: Convert to fraction form
    664,625/974,730 = 974,730/x
  3. Step 3: Cross multiply
    664,625x = 974,730 × 974,730
  4. Step 4: Simplify right side
    664,625x = 950,098,572,900
  5. Step 5: Solve for x
    x = 950,098,572,900/664,625
  6. Step 6: Final answer
    x = 1,429,525.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.