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Finding the Third Proportional to 311,540 and 682,039

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Solution

The third proportional to 311,540 and 682,039 is: 1,493,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,540 : 682,039 = 682,039 : x
  2. Step 2: Convert to fraction form
    311,540/682,039 = 682,039/x
  3. Step 3: Cross multiply
    311,540x = 682,039 × 682,039
  4. Step 4: Simplify right side
    311,540x = 465,177,197,521
  5. Step 5: Solve for x
    x = 465,177,197,521/311,540
  6. Step 6: Final answer
    x = 1,493,154.00

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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.