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Finding the Third Proportional to 311,414.81 and 674,481.19

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Solution

The third proportional to 311,414.81 and 674,481.19 is: 1,460,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,414.81 : 674,481.19 = 674,481.19 : x
  2. Step 2: Convert to fraction form
    311,414.81/674,481.19 = 674,481.19/x
  3. Step 3: Cross multiply
    311,414.81x = 674,481.19 × 674,481.19
  4. Step 4: Simplify right side
    311,414.81x = 454,924,872,291.41
  5. Step 5: Solve for x
    x = 454,924,872,291.41/311,414.81
  6. Step 6: Final answer
    x = 1,460,832.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.