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Finding the Third Proportional to 217,638 and 479,408

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Solution

The third proportional to 217,638 and 479,408 is: 1,056,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,638 : 479,408 = 479,408 : x
  2. Step 2: Convert to fraction form
    217,638/479,408 = 479,408/x
  3. Step 3: Cross multiply
    217,638x = 479,408 × 479,408
  4. Step 4: Simplify right side
    217,638x = 229,832,030,464
  5. Step 5: Solve for x
    x = 229,832,030,464/217,638
  6. Step 6: Final answer
    x = 1,056,028.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.