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Finding the Third Proportional to 350,171 and 682,846

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Solution

The third proportional to 350,171 and 682,846 is: 1,331,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,171 : 682,846 = 682,846 : x
  2. Step 2: Convert to fraction form
    350,171/682,846 = 682,846/x
  3. Step 3: Cross multiply
    350,171x = 682,846 × 682,846
  4. Step 4: Simplify right side
    350,171x = 466,278,659,716
  5. Step 5: Solve for x
    x = 466,278,659,716/350,171
  6. Step 6: Final answer
    x = 1,331,574.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.