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Finding the Third Proportional to 447,127.50 and 676,472.25

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Solution

The third proportional to 447,127.50 and 676,472.25 is: 1,023,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,127.50 : 676,472.25 = 676,472.25 : x
  2. Step 2: Convert to fraction form
    447,127.50/676,472.25 = 676,472.25/x
  3. Step 3: Cross multiply
    447,127.50x = 676,472.25 × 676,472.25
  4. Step 4: Simplify right side
    447,127.50x = 457,614,705,020.06
  5. Step 5: Solve for x
    x = 457,614,705,020.06/447,127.50
  6. Step 6: Final answer
    x = 1,023,454.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.