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Finding the Third Proportional to 414,387.50 and 584,906.75

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Solution

The third proportional to 414,387.50 and 584,906.75 is: 825,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,387.50 : 584,906.75 = 584,906.75 : x
  2. Step 2: Convert to fraction form
    414,387.50/584,906.75 = 584,906.75/x
  3. Step 3: Cross multiply
    414,387.50x = 584,906.75 × 584,906.75
  4. Step 4: Simplify right side
    414,387.50x = 342,115,906,195.56
  5. Step 5: Solve for x
    x = 342,115,906,195.56/414,387.50
  6. Step 6: Final answer
    x = 825,594.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.