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Finding the Third Proportional to 300,942 and 647,244

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Solution

The third proportional to 300,942 and 647,244 is: 1,392,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,942 : 647,244 = 647,244 : x
  2. Step 2: Convert to fraction form
    300,942/647,244 = 647,244/x
  3. Step 3: Cross multiply
    300,942x = 647,244 × 647,244
  4. Step 4: Simplify right side
    300,942x = 418,924,795,536
  5. Step 5: Solve for x
    x = 418,924,795,536/300,942
  6. Step 6: Final answer
    x = 1,392,044.96

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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.