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Finding the Third Proportional to 353,727.14 and 763,471.97

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Solution

The third proportional to 353,727.14 and 763,471.97 is: 1,647,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,727.14 : 763,471.97 = 763,471.97 : x
  2. Step 2: Convert to fraction form
    353,727.14/763,471.97 = 763,471.97/x
  3. Step 3: Cross multiply
    353,727.14x = 763,471.97 × 763,471.97
  4. Step 4: Simplify right side
    353,727.14x = 582,889,447,067.00
  5. Step 5: Solve for x
    x = 582,889,447,067.00/353,727.14
  6. Step 6: Final answer
    x = 1,647,850.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.