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Finding the Third Proportional to 664,446.38 and 996,462

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Solution

The third proportional to 664,446.38 and 996,462 is: 1,494,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,446.38 : 996,462 = 996,462 : x
  2. Step 2: Convert to fraction form
    664,446.38/996,462 = 996,462/x
  3. Step 3: Cross multiply
    664,446.38x = 996,462 × 996,462
  4. Step 4: Simplify right side
    664,446.38x = 992,936,517,444
  5. Step 5: Solve for x
    x = 992,936,517,444/664,446.38
  6. Step 6: Final answer
    x = 1,494,381.72

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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.