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Finding the Third Proportional to 325,982.25 and 498,660.75

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Solution

The third proportional to 325,982.25 and 498,660.75 is: 762,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,982.25 : 498,660.75 = 498,660.75 : x
  2. Step 2: Convert to fraction form
    325,982.25/498,660.75 = 498,660.75/x
  3. Step 3: Cross multiply
    325,982.25x = 498,660.75 × 498,660.75
  4. Step 4: Simplify right side
    325,982.25x = 248,662,543,590.56
  5. Step 5: Solve for x
    x = 248,662,543,590.56/325,982.25
  6. Step 6: Final answer
    x = 762,810.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.