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Finding the Third Proportional to 311,105.25 and 678,525.75

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Solution

The third proportional to 311,105.25 and 678,525.75 is: 1,479,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,105.25 : 678,525.75 = 678,525.75 : x
  2. Step 2: Convert to fraction form
    311,105.25/678,525.75 = 678,525.75/x
  3. Step 3: Cross multiply
    311,105.25x = 678,525.75 × 678,525.75
  4. Step 4: Simplify right side
    311,105.25x = 460,397,193,413.06
  5. Step 5: Solve for x
    x = 460,397,193,413.06/311,105.25
  6. Step 6: Final answer
    x = 1,479,876.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.