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Finding the Third Proportional to 268,944.25 and 585,205.75

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Solution

The third proportional to 268,944.25 and 585,205.75 is: 1,273,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,944.25 : 585,205.75 = 585,205.75 : x
  2. Step 2: Convert to fraction form
    268,944.25/585,205.75 = 585,205.75/x
  3. Step 3: Cross multiply
    268,944.25x = 585,205.75 × 585,205.75
  4. Step 4: Simplify right side
    268,944.25x = 342,465,769,833.06
  5. Step 5: Solve for x
    x = 342,465,769,833.06/268,944.25
  6. Step 6: Final answer
    x = 1,273,370.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.