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Finding the Third Proportional to 542.25 and 761.91

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Solution

The third proportional to 542.25 and 761.91 is: 1,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 761.91 = 761.91 : x
  2. Step 2: Convert to fraction form
    542.25/761.91 = 761.91/x
  3. Step 3: Cross multiply
    542.25x = 761.91 × 761.91
  4. Step 4: Simplify right side
    542.25x = 580,501.13
  5. Step 5: Solve for x
    x = 580,501.13/542.25
  6. Step 6: Final answer
    x = 1,070.54

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.