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Finding the Third Proportional to 409.22 and 886.78

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Solution

The third proportional to 409.22 and 886.78 is: 1,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.22 : 886.78 = 886.78 : x
  2. Step 2: Convert to fraction form
    409.22/886.78 = 886.78/x
  3. Step 3: Cross multiply
    409.22x = 886.78 × 886.78
  4. Step 4: Simplify right side
    409.22x = 786,380.99
  5. Step 5: Solve for x
    x = 786,380.99/409.22
  6. Step 6: Final answer
    x = 1,921.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.