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Finding the Third Proportional to 313,382.25 and 484,449.75

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Solution

The third proportional to 313,382.25 and 484,449.75 is: 748,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,382.25 : 484,449.75 = 484,449.75 : x
  2. Step 2: Convert to fraction form
    313,382.25/484,449.75 = 484,449.75/x
  3. Step 3: Cross multiply
    313,382.25x = 484,449.75 × 484,449.75
  4. Step 4: Simplify right side
    313,382.25x = 234,691,560,275.06
  5. Step 5: Solve for x
    x = 234,691,560,275.06/313,382.25
  6. Step 6: Final answer
    x = 748,898.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.