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Finding the Third Proportional to 388,193 and 823,042

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Solution

The third proportional to 388,193 and 823,042 is: 1,745,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,193 : 823,042 = 823,042 : x
  2. Step 2: Convert to fraction form
    388,193/823,042 = 823,042/x
  3. Step 3: Cross multiply
    388,193x = 823,042 × 823,042
  4. Step 4: Simplify right side
    388,193x = 677,398,133,764
  5. Step 5: Solve for x
    x = 677,398,133,764/388,193
  6. Step 6: Final answer
    x = 1,745,003.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.