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Finding the Third Proportional to 529,672.50 and 680,086.13

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Solution

The third proportional to 529,672.50 and 680,086.13 is: 873,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,672.50 : 680,086.13 = 680,086.13 : x
  2. Step 2: Convert to fraction form
    529,672.50/680,086.13 = 680,086.13/x
  3. Step 3: Cross multiply
    529,672.50x = 680,086.13 × 680,086.13
  4. Step 4: Simplify right side
    529,672.50x = 462,517,137,417.52
  5. Step 5: Solve for x
    x = 462,517,137,417.52/529,672.50
  6. Step 6: Final answer
    x = 873,213.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.