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Finding the Third Proportional to 300,885 and 648,791

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Solution

The third proportional to 300,885 and 648,791 is: 1,398,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,885 : 648,791 = 648,791 : x
  2. Step 2: Convert to fraction form
    300,885/648,791 = 648,791/x
  3. Step 3: Cross multiply
    300,885x = 648,791 × 648,791
  4. Step 4: Simplify right side
    300,885x = 420,929,761,681
  5. Step 5: Solve for x
    x = 420,929,761,681/300,885
  6. Step 6: Final answer
    x = 1,398,972.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.