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Finding the Third Proportional to 291,687.75 and 449,976.75

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Solution

The third proportional to 291,687.75 and 449,976.75 is: 694,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,687.75 : 449,976.75 = 449,976.75 : x
  2. Step 2: Convert to fraction form
    291,687.75/449,976.75 = 449,976.75/x
  3. Step 3: Cross multiply
    291,687.75x = 449,976.75 × 449,976.75
  4. Step 4: Simplify right side
    291,687.75x = 202,479,075,540.56
  5. Step 5: Solve for x
    x = 202,479,075,540.56/291,687.75
  6. Step 6: Final answer
    x = 694,163.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.