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Finding the Third Proportional to 268,785.75 and 577,414.75

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Solution

The third proportional to 268,785.75 and 577,414.75 is: 1,240,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,785.75 : 577,414.75 = 577,414.75 : x
  2. Step 2: Convert to fraction form
    268,785.75/577,414.75 = 577,414.75/x
  3. Step 3: Cross multiply
    268,785.75x = 577,414.75 × 577,414.75
  4. Step 4: Simplify right side
    268,785.75x = 333,407,793,517.56
  5. Step 5: Solve for x
    x = 333,407,793,517.56/268,785.75
  6. Step 6: Final answer
    x = 1,240,422.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.