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Finding the Third Proportional to 513,524 and 681,549

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Solution

The third proportional to 513,524 and 681,549 is: 904,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,524 : 681,549 = 681,549 : x
  2. Step 2: Convert to fraction form
    513,524/681,549 = 681,549/x
  3. Step 3: Cross multiply
    513,524x = 681,549 × 681,549
  4. Step 4: Simplify right side
    513,524x = 464,509,039,401
  5. Step 5: Solve for x
    x = 464,509,039,401/513,524
  6. Step 6: Final answer
    x = 904,551.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.