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Finding the Third Proportional to 300,920 and 467,448

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Solution

The third proportional to 300,920 and 467,448 is: 726,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,920 : 467,448 = 467,448 : x
  2. Step 2: Convert to fraction form
    300,920/467,448 = 467,448/x
  3. Step 3: Cross multiply
    300,920x = 467,448 × 467,448
  4. Step 4: Simplify right side
    300,920x = 218,507,632,704
  5. Step 5: Solve for x
    x = 218,507,632,704/300,920
  6. Step 6: Final answer
    x = 726,131.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.