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Finding the Third Proportional to 226,806 and 488,279

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Solution

The third proportional to 226,806 and 488,279 is: 1,051,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,806 : 488,279 = 488,279 : x
  2. Step 2: Convert to fraction form
    226,806/488,279 = 488,279/x
  3. Step 3: Cross multiply
    226,806x = 488,279 × 488,279
  4. Step 4: Simplify right side
    226,806x = 238,416,381,841
  5. Step 5: Solve for x
    x = 238,416,381,841/226,806
  6. Step 6: Final answer
    x = 1,051,190.81

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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.