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Finding the Third Proportional to 324,277.50 and 518,028.75

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Solution

The third proportional to 324,277.50 and 518,028.75 is: 827,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,277.50 : 518,028.75 = 518,028.75 : x
  2. Step 2: Convert to fraction form
    324,277.50/518,028.75 = 518,028.75/x
  3. Step 3: Cross multiply
    324,277.50x = 518,028.75 × 518,028.75
  4. Step 4: Simplify right side
    324,277.50x = 268,353,785,826.56
  5. Step 5: Solve for x
    x = 268,353,785,826.56/324,277.50
  6. Step 6: Final answer
    x = 827,543.65

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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.