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Finding the Third Proportional to 337,711.50 and 513,529.88

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Solution

The third proportional to 337,711.50 and 513,529.88 is: 780,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,711.50 : 513,529.88 = 513,529.88 : x
  2. Step 2: Convert to fraction form
    337,711.50/513,529.88 = 513,529.88/x
  3. Step 3: Cross multiply
    337,711.50x = 513,529.88 × 513,529.88
  4. Step 4: Simplify right side
    337,711.50x = 263,712,932,517.52
  5. Step 5: Solve for x
    x = 263,712,932,517.52/337,711.50
  6. Step 6: Final answer
    x = 780,882.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.