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Finding the Third Proportional to 322,791.80 and 474,344.07

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Solution

The third proportional to 322,791.80 and 474,344.07 is: 697,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,791.80 : 474,344.07 = 474,344.07 : x
  2. Step 2: Convert to fraction form
    322,791.80/474,344.07 = 474,344.07/x
  3. Step 3: Cross multiply
    322,791.80x = 474,344.07 × 474,344.07
  4. Step 4: Simplify right side
    322,791.80x = 225,002,295,187.73
  5. Step 5: Solve for x
    x = 225,002,295,187.73/322,791.80
  6. Step 6: Final answer
    x = 697,050.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.