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Finding the Third Proportional to 300,328 and 647,192

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Solution

The third proportional to 300,328 and 647,192 is: 1,394,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,328 : 647,192 = 647,192 : x
  2. Step 2: Convert to fraction form
    300,328/647,192 = 647,192/x
  3. Step 3: Cross multiply
    300,328x = 647,192 × 647,192
  4. Step 4: Simplify right side
    300,328x = 418,857,484,864
  5. Step 5: Solve for x
    x = 418,857,484,864/300,328
  6. Step 6: Final answer
    x = 1,394,666.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.