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Finding the Third Proportional to 538.37 and 791.02

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Solution

The third proportional to 538.37 and 791.02 is: 1,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.37 : 791.02 = 791.02 : x
  2. Step 2: Convert to fraction form
    538.37/791.02 = 791.02/x
  3. Step 3: Cross multiply
    538.37x = 791.02 × 791.02
  4. Step 4: Simplify right side
    538.37x = 625,705.72
  5. Step 5: Solve for x
    x = 625,705.72/538.37
  6. Step 6: Final answer
    x = 1,162.23

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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.