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Finding the Third Proportional to 324,482 and 500,067

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Solution

The third proportional to 324,482 and 500,067 is: 770,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,482 : 500,067 = 500,067 : x
  2. Step 2: Convert to fraction form
    324,482/500,067 = 500,067/x
  3. Step 3: Cross multiply
    324,482x = 500,067 × 500,067
  4. Step 4: Simplify right side
    324,482x = 250,067,004,489
  5. Step 5: Solve for x
    x = 250,067,004,489/324,482
  6. Step 6: Final answer
    x = 770,665.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.