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Finding the Third Proportional to 664,452 and 996,472

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Solution

The third proportional to 664,452 and 996,472 is: 1,494,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,452 : 996,472 = 996,472 : x
  2. Step 2: Convert to fraction form
    664,452/996,472 = 996,472/x
  3. Step 3: Cross multiply
    664,452x = 996,472 × 996,472
  4. Step 4: Simplify right side
    664,452x = 992,956,446,784
  5. Step 5: Solve for x
    x = 992,956,446,784/664,452
  6. Step 6: Final answer
    x = 1,494,399.06

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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.