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Finding the Third Proportional to 363.25 and 791.35

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Solution

The third proportional to 363.25 and 791.35 is: 1,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.25 : 791.35 = 791.35 : x
  2. Step 2: Convert to fraction form
    363.25/791.35 = 791.35/x
  3. Step 3: Cross multiply
    363.25x = 791.35 × 791.35
  4. Step 4: Simplify right side
    363.25x = 626,237.68
  5. Step 5: Solve for x
    x = 626,237.68/363.25
  6. Step 6: Final answer
    x = 1,723.97

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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.