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Finding the Third Proportional to 311,214.75 and 682,694.25

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Solution

The third proportional to 311,214.75 and 682,694.25 is: 1,497,587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,214.75 : 682,694.25 = 682,694.25 : x
  2. Step 2: Convert to fraction form
    311,214.75/682,694.25 = 682,694.25/x
  3. Step 3: Cross multiply
    311,214.75x = 682,694.25 × 682,694.25
  4. Step 4: Simplify right side
    311,214.75x = 466,071,438,983.06
  5. Step 5: Solve for x
    x = 466,071,438,983.06/311,214.75
  6. Step 6: Final answer
    x = 1,497,587.88

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Why These Related Problems?

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