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Finding the Third Proportional to 396,624 and 826,064

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Solution

The third proportional to 396,624 and 826,064 is: 1,720,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,624 : 826,064 = 826,064 : x
  2. Step 2: Convert to fraction form
    396,624/826,064 = 826,064/x
  3. Step 3: Cross multiply
    396,624x = 826,064 × 826,064
  4. Step 4: Simplify right side
    396,624x = 682,381,732,096
  5. Step 5: Solve for x
    x = 682,381,732,096/396,624
  6. Step 6: Final answer
    x = 1,720,475.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.