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Finding the Third Proportional to 460,793.25 and 958,380.75

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Solution

The third proportional to 460,793.25 and 958,380.75 is: 1,993,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,793.25 : 958,380.75 = 958,380.75 : x
  2. Step 2: Convert to fraction form
    460,793.25/958,380.75 = 958,380.75/x
  3. Step 3: Cross multiply
    460,793.25x = 958,380.75 × 958,380.75
  4. Step 4: Simplify right side
    460,793.25x = 918,493,661,970.56
  5. Step 5: Solve for x
    x = 918,493,661,970.56/460,793.25
  6. Step 6: Final answer
    x = 1,993,288.01

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.