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Finding the Third Proportional to 300,660 and 647,832

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Solution

The third proportional to 300,660 and 647,832 is: 1,395,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,660 : 647,832 = 647,832 : x
  2. Step 2: Convert to fraction form
    300,660/647,832 = 647,832/x
  3. Step 3: Cross multiply
    300,660x = 647,832 × 647,832
  4. Step 4: Simplify right side
    300,660x = 419,686,300,224
  5. Step 5: Solve for x
    x = 419,686,300,224/300,660
  6. Step 6: Final answer
    x = 1,395,883.39

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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.