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Finding the Third Proportional to 392,764 and 861,992

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Solution

The third proportional to 392,764 and 861,992 is: 1,891,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,764 : 861,992 = 861,992 : x
  2. Step 2: Convert to fraction form
    392,764/861,992 = 861,992/x
  3. Step 3: Cross multiply
    392,764x = 861,992 × 861,992
  4. Step 4: Simplify right side
    392,764x = 743,030,208,064
  5. Step 5: Solve for x
    x = 743,030,208,064/392,764
  6. Step 6: Final answer
    x = 1,891,798.15

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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.