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Finding the Third Proportional to 312,758 and 682,874

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Solution

The third proportional to 312,758 and 682,874 is: 1,490,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,758 : 682,874 = 682,874 : x
  2. Step 2: Convert to fraction form
    312,758/682,874 = 682,874/x
  3. Step 3: Cross multiply
    312,758x = 682,874 × 682,874
  4. Step 4: Simplify right side
    312,758x = 466,316,899,876
  5. Step 5: Solve for x
    x = 466,316,899,876/312,758
  6. Step 6: Final answer
    x = 1,490,983.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.