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Finding the Third Proportional to 274,380.75 and 409,505.63

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Solution

The third proportional to 274,380.75 and 409,505.63 is: 611,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,380.75 : 409,505.63 = 409,505.63 : x
  2. Step 2: Convert to fraction form
    274,380.75/409,505.63 = 409,505.63/x
  3. Step 3: Cross multiply
    274,380.75x = 409,505.63 × 409,505.63
  4. Step 4: Simplify right side
    274,380.75x = 167,694,856,906.64
  5. Step 5: Solve for x
    x = 167,694,856,906.64/274,380.75
  6. Step 6: Final answer
    x = 611,175.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.