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Finding the Third Proportional to 535,716.50 and 727,560.75

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Solution

The third proportional to 535,716.50 and 727,560.75 is: 988,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,716.50 : 727,560.75 = 727,560.75 : x
  2. Step 2: Convert to fraction form
    535,716.50/727,560.75 = 727,560.75/x
  3. Step 3: Cross multiply
    535,716.50x = 727,560.75 × 727,560.75
  4. Step 4: Simplify right side
    535,716.50x = 529,344,644,940.56
  5. Step 5: Solve for x
    x = 529,344,644,940.56/535,716.50
  6. Step 6: Final answer
    x = 988,105.92

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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.