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Finding the Third Proportional to 381,999 and 795,391.13

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Solution

The third proportional to 381,999 and 795,391.13 is: 1,656,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,999 : 795,391.13 = 795,391.13 : x
  2. Step 2: Convert to fraction form
    381,999/795,391.13 = 795,391.13/x
  3. Step 3: Cross multiply
    381,999x = 795,391.13 × 795,391.13
  4. Step 4: Simplify right side
    381,999x = 632,647,041,728.77
  5. Step 5: Solve for x
    x = 632,647,041,728.77/381,999
  6. Step 6: Final answer
    x = 1,656,148.42

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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.