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Finding the Third Proportional to 230,429 and 479,251

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Solution

The third proportional to 230,429 and 479,251 is: 996,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,429 : 479,251 = 479,251 : x
  2. Step 2: Convert to fraction form
    230,429/479,251 = 479,251/x
  3. Step 3: Cross multiply
    230,429x = 479,251 × 479,251
  4. Step 4: Simplify right side
    230,429x = 229,681,521,001
  5. Step 5: Solve for x
    x = 229,681,521,001/230,429
  6. Step 6: Final answer
    x = 996,756.14

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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.