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Finding the Third Proportional to 649 and 886

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Solution

The third proportional to 649 and 886 is: 1,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    649 : 886 = 886 : x
  2. Step 2: Convert to fraction form
    649/886 = 886/x
  3. Step 3: Cross multiply
    649x = 886 × 886
  4. Step 4: Simplify right side
    649x = 784,996
  5. Step 5: Solve for x
    x = 784,996/649
  6. Step 6: Final answer
    x = 1,209.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.