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Finding the Third Proportional to 219,956 and 471,016

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Solution

The third proportional to 219,956 and 471,016 is: 1,008,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,956 : 471,016 = 471,016 : x
  2. Step 2: Convert to fraction form
    219,956/471,016 = 471,016/x
  3. Step 3: Cross multiply
    219,956x = 471,016 × 471,016
  4. Step 4: Simplify right side
    219,956x = 221,856,072,256
  5. Step 5: Solve for x
    x = 221,856,072,256/219,956
  6. Step 6: Final answer
    x = 1,008,638.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.