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Finding the Third Proportional to 393,676 and 862,165

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Solution

The third proportional to 393,676 and 862,165 is: 1,888,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,676 : 862,165 = 862,165 : x
  2. Step 2: Convert to fraction form
    393,676/862,165 = 862,165/x
  3. Step 3: Cross multiply
    393,676x = 862,165 × 862,165
  4. Step 4: Simplify right side
    393,676x = 743,328,487,225
  5. Step 5: Solve for x
    x = 743,328,487,225/393,676
  6. Step 6: Final answer
    x = 1,888,173.24

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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.