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Finding the Third Proportional to 697 and 775

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Solution

The third proportional to 697 and 775 is: 861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    697 : 775 = 775 : x
  2. Step 2: Convert to fraction form
    697/775 = 775/x
  3. Step 3: Cross multiply
    697x = 775 × 775
  4. Step 4: Simplify right side
    697x = 600,625
  5. Step 5: Solve for x
    x = 600,625/697
  6. Step 6: Final answer
    x = 861.73

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.