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Finding the Third Proportional to 230,512 and 479,384

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Solution

The third proportional to 230,512 and 479,384 is: 996,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,512 : 479,384 = 479,384 : x
  2. Step 2: Convert to fraction form
    230,512/479,384 = 479,384/x
  3. Step 3: Cross multiply
    230,512x = 479,384 × 479,384
  4. Step 4: Simplify right side
    230,512x = 229,809,019,456
  5. Step 5: Solve for x
    x = 229,809,019,456/230,512
  6. Step 6: Final answer
    x = 996,950.35

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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.