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Finding the Third Proportional to 454,744 and 682,104

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Solution

The third proportional to 454,744 and 682,104 is: 1,023,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,744 : 682,104 = 682,104 : x
  2. Step 2: Convert to fraction form
    454,744/682,104 = 682,104/x
  3. Step 3: Cross multiply
    454,744x = 682,104 × 682,104
  4. Step 4: Simplify right side
    454,744x = 465,265,866,816
  5. Step 5: Solve for x
    x = 465,265,866,816/454,744
  6. Step 6: Final answer
    x = 1,023,138.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.