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Finding the Third Proportional to 381,800.25 and 790,023.38

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Solution

The third proportional to 381,800.25 and 790,023.38 is: 1,634,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,800.25 : 790,023.38 = 790,023.38 : x
  2. Step 2: Convert to fraction form
    381,800.25/790,023.38 = 790,023.38/x
  3. Step 3: Cross multiply
    381,800.25x = 790,023.38 × 790,023.38
  4. Step 4: Simplify right side
    381,800.25x = 624,136,933,046.39
  5. Step 5: Solve for x
    x = 624,136,933,046.39/381,800.25
  6. Step 6: Final answer
    x = 1,634,721.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.