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Finding the Third Proportional to 362.14 and 791.05

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Solution

The third proportional to 362.14 and 791.05 is: 1,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.14 : 791.05 = 791.05 : x
  2. Step 2: Convert to fraction form
    362.14/791.05 = 791.05/x
  3. Step 3: Cross multiply
    362.14x = 791.05 × 791.05
  4. Step 4: Simplify right side
    362.14x = 625,761.34
  5. Step 5: Solve for x
    x = 625,761.34/362.14
  6. Step 6: Final answer
    x = 1,727.93

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Why These Related Problems?

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