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Finding the Third Proportional to 394,452 and 862,632

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Solution

The third proportional to 394,452 and 862,632 is: 1,886,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,452 : 862,632 = 862,632 : x
  2. Step 2: Convert to fraction form
    394,452/862,632 = 862,632/x
  3. Step 3: Cross multiply
    394,452x = 862,632 × 862,632
  4. Step 4: Simplify right side
    394,452x = 744,133,967,424
  5. Step 5: Solve for x
    x = 744,133,967,424/394,452
  6. Step 6: Final answer
    x = 1,886,500.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.