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Finding the Third Proportional to 535,860 and 727,766

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Solution

The third proportional to 535,860 and 727,766 is: 988,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,860 : 727,766 = 727,766 : x
  2. Step 2: Convert to fraction form
    535,860/727,766 = 727,766/x
  3. Step 3: Cross multiply
    535,860x = 727,766 × 727,766
  4. Step 4: Simplify right side
    535,860x = 529,643,350,756
  5. Step 5: Solve for x
    x = 529,643,350,756/535,860
  6. Step 6: Final answer
    x = 988,398.74

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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.