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Finding the Third Proportional to 542.75 and 593.38

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Solution

The third proportional to 542.75 and 593.38 is: 648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 593.38 = 593.38 : x
  2. Step 2: Convert to fraction form
    542.75/593.38 = 593.38/x
  3. Step 3: Cross multiply
    542.75x = 593.38 × 593.38
  4. Step 4: Simplify right side
    542.75x = 352,093.89
  5. Step 5: Solve for x
    x = 352,093.89/542.75
  6. Step 6: Final answer
    x = 648.72

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.