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Finding the Third Proportional to 499,744.69 and 730,873.76

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Solution

The third proportional to 499,744.69 and 730,873.76 is: 1,068,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,744.69 : 730,873.76 = 730,873.76 : x
  2. Step 2: Convert to fraction form
    499,744.69/730,873.76 = 730,873.76/x
  3. Step 3: Cross multiply
    499,744.69x = 730,873.76 × 730,873.76
  4. Step 4: Simplify right side
    499,744.69x = 534,176,449,858.97
  5. Step 5: Solve for x
    x = 534,176,449,858.97/499,744.69
  6. Step 6: Final answer
    x = 1,068,898.71

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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.