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Finding the Third Proportional to 322,524 and 483,907

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Solution

The third proportional to 322,524 and 483,907 is: 726,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,524 : 483,907 = 483,907 : x
  2. Step 2: Convert to fraction form
    322,524/483,907 = 483,907/x
  3. Step 3: Cross multiply
    322,524x = 483,907 × 483,907
  4. Step 4: Simplify right side
    322,524x = 234,165,984,649
  5. Step 5: Solve for x
    x = 234,165,984,649/322,524
  6. Step 6: Final answer
    x = 726,042.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.