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Finding the Third Proportional to 215,649 and 467,949

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Solution

The third proportional to 215,649 and 467,949 is: 1,015,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,649 : 467,949 = 467,949 : x
  2. Step 2: Convert to fraction form
    215,649/467,949 = 467,949/x
  3. Step 3: Cross multiply
    215,649x = 467,949 × 467,949
  4. Step 4: Simplify right side
    215,649x = 218,976,266,601
  5. Step 5: Solve for x
    x = 218,976,266,601/215,649
  6. Step 6: Final answer
    x = 1,015,429.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.