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Finding the Third Proportional to 300,650 and 647,812

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Solution

The third proportional to 300,650 and 647,812 is: 1,395,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,650 : 647,812 = 647,812 : x
  2. Step 2: Convert to fraction form
    300,650/647,812 = 647,812/x
  3. Step 3: Cross multiply
    300,650x = 647,812 × 647,812
  4. Step 4: Simplify right side
    300,650x = 419,660,387,344
  5. Step 5: Solve for x
    x = 419,660,387,344/300,650
  6. Step 6: Final answer
    x = 1,395,843.63

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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.