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Finding the Third Proportional to 322,523.25 and 483,906.75

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Solution

The third proportional to 322,523.25 and 483,906.75 is: 726,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,523.25 : 483,906.75 = 483,906.75 : x
  2. Step 2: Convert to fraction form
    322,523.25/483,906.75 = 483,906.75/x
  3. Step 3: Cross multiply
    322,523.25x = 483,906.75 × 483,906.75
  4. Step 4: Simplify right side
    322,523.25x = 234,165,742,695.56
  5. Step 5: Solve for x
    x = 234,165,742,695.56/322,523.25
  6. Step 6: Final answer
    x = 726,042.98

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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.