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Finding the Third Proportional to 311,657.63 and 682,431.75

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Solution

The third proportional to 311,657.63 and 682,431.75 is: 1,494,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,657.63 : 682,431.75 = 682,431.75 : x
  2. Step 2: Convert to fraction form
    311,657.63/682,431.75 = 682,431.75/x
  3. Step 3: Cross multiply
    311,657.63x = 682,431.75 × 682,431.75
  4. Step 4: Simplify right side
    311,657.63x = 465,713,093,408.06
  5. Step 5: Solve for x
    x = 465,713,093,408.06/311,657.63
  6. Step 6: Final answer
    x = 1,494,309.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.