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Finding the Third Proportional to 316,481 and 682,450

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Solution

The third proportional to 316,481 and 682,450 is: 1,471,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,481 : 682,450 = 682,450 : x
  2. Step 2: Convert to fraction form
    316,481/682,450 = 682,450/x
  3. Step 3: Cross multiply
    316,481x = 682,450 × 682,450
  4. Step 4: Simplify right side
    316,481x = 465,738,002,500
  5. Step 5: Solve for x
    x = 465,738,002,500/316,481
  6. Step 6: Final answer
    x = 1,471,614.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.