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Finding the Third Proportional to 231,068 and 479,672

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Solution

The third proportional to 231,068 and 479,672 is: 995,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,068 : 479,672 = 479,672 : x
  2. Step 2: Convert to fraction form
    231,068/479,672 = 479,672/x
  3. Step 3: Cross multiply
    231,068x = 479,672 × 479,672
  4. Step 4: Simplify right side
    231,068x = 230,085,227,584
  5. Step 5: Solve for x
    x = 230,085,227,584/231,068
  6. Step 6: Final answer
    x = 995,746.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.