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Finding the Third Proportional to 312,755 and 682,867

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Solution

The third proportional to 312,755 and 682,867 is: 1,490,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,755 : 682,867 = 682,867 : x
  2. Step 2: Convert to fraction form
    312,755/682,867 = 682,867/x
  3. Step 3: Cross multiply
    312,755x = 682,867 × 682,867
  4. Step 4: Simplify right side
    312,755x = 466,307,339,689
  5. Step 5: Solve for x
    x = 466,307,339,689/312,755
  6. Step 6: Final answer
    x = 1,490,966.86

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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.