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Finding the Third Proportional to 440,002.13 and 452,407.78

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Solution

The third proportional to 440,002.13 and 452,407.78 is: 465,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,002.13 : 452,407.78 = 452,407.78 : x
  2. Step 2: Convert to fraction form
    440,002.13/452,407.78 = 452,407.78/x
  3. Step 3: Cross multiply
    440,002.13x = 452,407.78 × 452,407.78
  4. Step 4: Simplify right side
    440,002.13x = 204,672,800,535.55
  5. Step 5: Solve for x
    x = 204,672,800,535.55/440,002.13
  6. Step 6: Final answer
    x = 465,163.21

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.