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Finding the Third Proportional to 395,939 and 863,344

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Solution

The third proportional to 395,939 and 863,344 is: 1,882,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,939 : 863,344 = 863,344 : x
  2. Step 2: Convert to fraction form
    395,939/863,344 = 863,344/x
  3. Step 3: Cross multiply
    395,939x = 863,344 × 863,344
  4. Step 4: Simplify right side
    395,939x = 745,362,862,336
  5. Step 5: Solve for x
    x = 745,362,862,336/395,939
  6. Step 6: Final answer
    x = 1,882,519.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.