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Finding the Third Proportional to 324,847 and 499,949

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Solution

The third proportional to 324,847 and 499,949 is: 769,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,847 : 499,949 = 499,949 : x
  2. Step 2: Convert to fraction form
    324,847/499,949 = 499,949/x
  3. Step 3: Cross multiply
    324,847x = 499,949 × 499,949
  4. Step 4: Simplify right side
    324,847x = 249,949,002,601
  5. Step 5: Solve for x
    x = 249,949,002,601/324,847
  6. Step 6: Final answer
    x = 769,436.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.