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Finding the Third Proportional to 225,650 and 480,279

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Solution

The third proportional to 225,650 and 480,279 is: 1,022,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,650 : 480,279 = 480,279 : x
  2. Step 2: Convert to fraction form
    225,650/480,279 = 480,279/x
  3. Step 3: Cross multiply
    225,650x = 480,279 × 480,279
  4. Step 4: Simplify right side
    225,650x = 230,667,917,841
  5. Step 5: Solve for x
    x = 230,667,917,841/225,650
  6. Step 6: Final answer
    x = 1,022,237.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.