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Finding the Third Proportional to 664.88 and 886.50

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Solution

The third proportional to 664.88 and 886.50 is: 1,182

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.88 : 886.50 = 886.50 : x
  2. Step 2: Convert to fraction form
    664.88/886.50 = 886.50/x
  3. Step 3: Cross multiply
    664.88x = 886.50 × 886.50
  4. Step 4: Simplify right side
    664.88x = 785,882.25
  5. Step 5: Solve for x
    x = 785,882.25/664.88
  6. Step 6: Final answer
    x = 1,182

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.