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Finding the Third Proportional to 324,257.50 and 518,003.75

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Solution

The third proportional to 324,257.50 and 518,003.75 is: 827,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,257.50 : 518,003.75 = 518,003.75 : x
  2. Step 2: Convert to fraction form
    324,257.50/518,003.75 = 518,003.75/x
  3. Step 3: Cross multiply
    324,257.50x = 518,003.75 × 518,003.75
  4. Step 4: Simplify right side
    324,257.50x = 268,327,885,014.06
  5. Step 5: Solve for x
    x = 268,327,885,014.06/324,257.50
  6. Step 6: Final answer
    x = 827,514.81

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