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Finding the Third Proportional to 220,614 and 467,229

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Solution

The third proportional to 220,614 and 467,229 is: 989,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,614 : 467,229 = 467,229 : x
  2. Step 2: Convert to fraction form
    220,614/467,229 = 467,229/x
  3. Step 3: Cross multiply
    220,614x = 467,229 × 467,229
  4. Step 4: Simplify right side
    220,614x = 218,302,938,441
  5. Step 5: Solve for x
    x = 218,302,938,441/220,614
  6. Step 6: Final answer
    x = 989,524.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.