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Finding the Third Proportional to 393,376 and 844,100

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Solution

The third proportional to 393,376 and 844,100 is: 1,811,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,376 : 844,100 = 844,100 : x
  2. Step 2: Convert to fraction form
    393,376/844,100 = 844,100/x
  3. Step 3: Cross multiply
    393,376x = 844,100 × 844,100
  4. Step 4: Simplify right side
    393,376x = 712,504,810,000
  5. Step 5: Solve for x
    x = 712,504,810,000/393,376
  6. Step 6: Final answer
    x = 1,811,256.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.