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Finding the Third Proportional to 275.97 and 593.94

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Solution

The third proportional to 275.97 and 593.94 is: 1,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.97 : 593.94 = 593.94 : x
  2. Step 2: Convert to fraction form
    275.97/593.94 = 593.94/x
  3. Step 3: Cross multiply
    275.97x = 593.94 × 593.94
  4. Step 4: Simplify right side
    275.97x = 352,761.75
  5. Step 5: Solve for x
    x = 352,761.75/275.97
  6. Step 6: Final answer
    x = 1,278.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.