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Finding the Third Proportional to 395,886 and 863,225

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Solution

The third proportional to 395,886 and 863,225 is: 1,882,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,886 : 863,225 = 863,225 : x
  2. Step 2: Convert to fraction form
    395,886/863,225 = 863,225/x
  3. Step 3: Cross multiply
    395,886x = 863,225 × 863,225
  4. Step 4: Simplify right side
    395,886x = 745,157,400,625
  5. Step 5: Solve for x
    x = 745,157,400,625/395,886
  6. Step 6: Final answer
    x = 1,882,252.47

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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.