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Finding the Third Proportional to 268,217.58 and 582,567.19

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Solution

The third proportional to 268,217.58 and 582,567.19 is: 1,265,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,217.58 : 582,567.19 = 582,567.19 : x
  2. Step 2: Convert to fraction form
    268,217.58/582,567.19 = 582,567.19/x
  3. Step 3: Cross multiply
    268,217.58x = 582,567.19 × 582,567.19
  4. Step 4: Simplify right side
    268,217.58x = 339,384,527,951.66
  5. Step 5: Solve for x
    x = 339,384,527,951.66/268,217.58
  6. Step 6: Final answer
    x = 1,265,332.91

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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.