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Finding the Third Proportional to 324,231.75 and 517,967.44

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Solution

The third proportional to 324,231.75 and 517,967.44 is: 827,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,231.75 : 517,967.44 = 517,967.44 : x
  2. Step 2: Convert to fraction form
    324,231.75/517,967.44 = 517,967.44/x
  3. Step 3: Cross multiply
    324,231.75x = 517,967.44 × 517,967.44
  4. Step 4: Simplify right side
    324,231.75x = 268,290,266,310.32
  5. Step 5: Solve for x
    x = 268,290,266,310.32/324,231.75
  6. Step 6: Final answer
    x = 827,464.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.