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Finding the Third Proportional to 220,649 and 330,677

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Solution

The third proportional to 220,649 and 330,677 is: 495,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,649 : 330,677 = 330,677 : x
  2. Step 2: Convert to fraction form
    220,649/330,677 = 330,677/x
  3. Step 3: Cross multiply
    220,649x = 330,677 × 330,677
  4. Step 4: Simplify right side
    220,649x = 109,347,278,329
  5. Step 5: Solve for x
    x = 109,347,278,329/220,649
  6. Step 6: Final answer
    x = 495,571.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.