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Finding the Third Proportional to 711.38 and 1,092

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Solution

The third proportional to 711.38 and 1,092 is: 1,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.38 : 1,092 = 1,092 : x
  2. Step 2: Convert to fraction form
    711.38/1,092 = 1,092/x
  3. Step 3: Cross multiply
    711.38x = 1,092 × 1,092
  4. Step 4: Simplify right side
    711.38x = 1,192,464
  5. Step 5: Solve for x
    x = 1,192,464/711.38
  6. Step 6: Final answer
    x = 1,676.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.