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Finding the Third Proportional to 219,567 and 472,422

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Solution

The third proportional to 219,567 and 472,422 is: 1,016,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,567 : 472,422 = 472,422 : x
  2. Step 2: Convert to fraction form
    219,567/472,422 = 472,422/x
  3. Step 3: Cross multiply
    219,567x = 472,422 × 472,422
  4. Step 4: Simplify right side
    219,567x = 223,182,546,084
  5. Step 5: Solve for x
    x = 223,182,546,084/219,567
  6. Step 6: Final answer
    x = 1,016,466.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.