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Finding the Third Proportional to 414,902.25 and 567,820.13

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Solution

The third proportional to 414,902.25 and 567,820.13 is: 777,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,902.25 : 567,820.13 = 567,820.13 : x
  2. Step 2: Convert to fraction form
    414,902.25/567,820.13 = 567,820.13/x
  3. Step 3: Cross multiply
    414,902.25x = 567,820.13 × 567,820.13
  4. Step 4: Simplify right side
    414,902.25x = 322,419,694,355.02
  5. Step 5: Solve for x
    x = 322,419,694,355.02/414,902.25
  6. Step 6: Final answer
    x = 777,097.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.