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Finding the Third Proportional to 230,516 and 479,392

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Solution

The third proportional to 230,516 and 479,392 is: 996,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,516 : 479,392 = 479,392 : x
  2. Step 2: Convert to fraction form
    230,516/479,392 = 479,392/x
  3. Step 3: Cross multiply
    230,516x = 479,392 × 479,392
  4. Step 4: Simplify right side
    230,516x = 229,816,689,664
  5. Step 5: Solve for x
    x = 229,816,689,664/230,516
  6. Step 6: Final answer
    x = 996,966.33

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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.