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Finding the Third Proportional to 224,508 and 480,147

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Solution

The third proportional to 224,508 and 480,147 is: 1,026,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,508 : 480,147 = 480,147 : x
  2. Step 2: Convert to fraction form
    224,508/480,147 = 480,147/x
  3. Step 3: Cross multiply
    224,508x = 480,147 × 480,147
  4. Step 4: Simplify right side
    224,508x = 230,541,141,609
  5. Step 5: Solve for x
    x = 230,541,141,609/224,508
  6. Step 6: Final answer
    x = 1,026,872.72

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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.