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Finding the Third Proportional to 362.04 and 791.86

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Solution

The third proportional to 362.04 and 791.86 is: 1,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.04 : 791.86 = 791.86 : x
  2. Step 2: Convert to fraction form
    362.04/791.86 = 791.86/x
  3. Step 3: Cross multiply
    362.04x = 791.86 × 791.86
  4. Step 4: Simplify right side
    362.04x = 627,041.27
  5. Step 5: Solve for x
    x = 627,041.27/362.04
  6. Step 6: Final answer
    x = 1,731.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.