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Finding the Third Proportional to 742 and 892

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Solution

The third proportional to 742 and 892 is: 1,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    742 : 892 = 892 : x
  2. Step 2: Convert to fraction form
    742/892 = 892/x
  3. Step 3: Cross multiply
    742x = 892 × 892
  4. Step 4: Simplify right side
    742x = 795,664
  5. Step 5: Solve for x
    x = 795,664/742
  6. Step 6: Final answer
    x = 1,072.32

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.