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Finding the Third Proportional to 499,750 and 730,883

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Solution

The third proportional to 499,750 and 730,883 is: 1,068,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,750 : 730,883 = 730,883 : x
  2. Step 2: Convert to fraction form
    499,750/730,883 = 730,883/x
  3. Step 3: Cross multiply
    499,750x = 730,883 × 730,883
  4. Step 4: Simplify right side
    499,750x = 534,189,959,689
  5. Step 5: Solve for x
    x = 534,189,959,689/499,750
  6. Step 6: Final answer
    x = 1,068,914.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.