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Finding the Third Proportional to 686.75 and 869.25

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Solution

The third proportional to 686.75 and 869.25 is: 1,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.75 : 869.25 = 869.25 : x
  2. Step 2: Convert to fraction form
    686.75/869.25 = 869.25/x
  3. Step 3: Cross multiply
    686.75x = 869.25 × 869.25
  4. Step 4: Simplify right side
    686.75x = 755,595.56
  5. Step 5: Solve for x
    x = 755,595.56/686.75
  6. Step 6: Final answer
    x = 1,100.25

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.