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Finding the Third Proportional to 402,849.07 and 547,439.13

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Solution

The third proportional to 402,849.07 and 547,439.13 is: 743,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,849.07 : 547,439.13 = 547,439.13 : x
  2. Step 2: Convert to fraction form
    402,849.07/547,439.13 = 547,439.13/x
  3. Step 3: Cross multiply
    402,849.07x = 547,439.13 × 547,439.13
  4. Step 4: Simplify right side
    402,849.07x = 299,689,604,134.50
  5. Step 5: Solve for x
    x = 299,689,604,134.50/402,849.07
  6. Step 6: Final answer
    x = 743,925.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.