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Finding the Third Proportional to 312,797 and 682,935

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Solution

The third proportional to 312,797 and 682,935 is: 1,491,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,797 : 682,935 = 682,935 : x
  2. Step 2: Convert to fraction form
    312,797/682,935 = 682,935/x
  3. Step 3: Cross multiply
    312,797x = 682,935 × 682,935
  4. Step 4: Simplify right side
    312,797x = 466,400,214,225
  5. Step 5: Solve for x
    x = 466,400,214,225/312,797
  6. Step 6: Final answer
    x = 1,491,063.58

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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.