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Finding the Third Proportional to 324,268 and 485,100

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Solution

The third proportional to 324,268 and 485,100 is: 725,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,268 : 485,100 = 485,100 : x
  2. Step 2: Convert to fraction form
    324,268/485,100 = 485,100/x
  3. Step 3: Cross multiply
    324,268x = 485,100 × 485,100
  4. Step 4: Simplify right side
    324,268x = 235,322,010,000
  5. Step 5: Solve for x
    x = 235,322,010,000/324,268
  6. Step 6: Final answer
    x = 725,702.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.