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Finding the Third Proportional to 325,974.75 and 498,650.75

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Solution

The third proportional to 325,974.75 and 498,650.75 is: 762,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,974.75 : 498,650.75 = 498,650.75 : x
  2. Step 2: Convert to fraction form
    325,974.75/498,650.75 = 498,650.75/x
  3. Step 3: Cross multiply
    325,974.75x = 498,650.75 × 498,650.75
  4. Step 4: Simplify right side
    325,974.75x = 248,652,570,475.56
  5. Step 5: Solve for x
    x = 248,652,570,475.56/325,974.75
  6. Step 6: Final answer
    x = 762,797.03

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Why These Related Problems?

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