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Finding the Third Proportional to 460,255.50 and 984,480.75

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Solution

The third proportional to 460,255.50 and 984,480.75 is: 2,105,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,255.50 : 984,480.75 = 984,480.75 : x
  2. Step 2: Convert to fraction form
    460,255.50/984,480.75 = 984,480.75/x
  3. Step 3: Cross multiply
    460,255.50x = 984,480.75 × 984,480.75
  4. Step 4: Simplify right side
    460,255.50x = 969,202,347,120.56
  5. Step 5: Solve for x
    x = 969,202,347,120.56/460,255.50
  6. Step 6: Final answer
    x = 2,105,791.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.