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Finding the Third Proportional to 230,432 and 479,257

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Solution

The third proportional to 230,432 and 479,257 is: 996,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,432 : 479,257 = 479,257 : x
  2. Step 2: Convert to fraction form
    230,432/479,257 = 479,257/x
  3. Step 3: Cross multiply
    230,432x = 479,257 × 479,257
  4. Step 4: Simplify right side
    230,432x = 229,687,272,049
  5. Step 5: Solve for x
    x = 229,687,272,049/230,432
  6. Step 6: Final answer
    x = 996,768.12

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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.