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Finding the Third Proportional to 395,941 and 863,348

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Solution

The third proportional to 395,941 and 863,348 is: 1,882,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,941 : 863,348 = 863,348 : x
  2. Step 2: Convert to fraction form
    395,941/863,348 = 863,348/x
  3. Step 3: Cross multiply
    395,941x = 863,348 × 863,348
  4. Step 4: Simplify right side
    395,941x = 745,369,769,104
  5. Step 5: Solve for x
    x = 745,369,769,104/395,941
  6. Step 6: Final answer
    x = 1,882,527.37

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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.