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Finding the Third Proportional to 324,216.50 and 485,028.75

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Solution

The third proportional to 324,216.50 and 485,028.75 is: 725,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,216.50 : 485,028.75 = 485,028.75 : x
  2. Step 2: Convert to fraction form
    324,216.50/485,028.75 = 485,028.75/x
  3. Step 3: Cross multiply
    324,216.50x = 485,028.75 × 485,028.75
  4. Step 4: Simplify right side
    324,216.50x = 235,252,888,326.56
  5. Step 5: Solve for x
    x = 235,252,888,326.56/324,216.50
  6. Step 6: Final answer
    x = 725,604.31

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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.