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Finding the Third Proportional to 454,134.75 and 617,025.75

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Solution

The third proportional to 454,134.75 and 617,025.75 is: 838,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,134.75 : 617,025.75 = 617,025.75 : x
  2. Step 2: Convert to fraction form
    454,134.75/617,025.75 = 617,025.75/x
  3. Step 3: Cross multiply
    454,134.75x = 617,025.75 × 617,025.75
  4. Step 4: Simplify right side
    454,134.75x = 380,720,776,163.06
  5. Step 5: Solve for x
    x = 380,720,776,163.06/454,134.75
  6. Step 6: Final answer
    x = 838,343.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.