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Finding the Third Proportional to 219,806 and 451,256

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Solution

The third proportional to 219,806 and 451,256 is: 926,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,806 : 451,256 = 451,256 : x
  2. Step 2: Convert to fraction form
    219,806/451,256 = 451,256/x
  3. Step 3: Cross multiply
    219,806x = 451,256 × 451,256
  4. Step 4: Simplify right side
    219,806x = 203,631,977,536
  5. Step 5: Solve for x
    x = 203,631,977,536/219,806
  6. Step 6: Final answer
    x = 926,416.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.