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Finding the Third Proportional to 395,361 and 932,850

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Solution

The third proportional to 395,361 and 932,850 is: 2,201,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,361 : 932,850 = 932,850 : x
  2. Step 2: Convert to fraction form
    395,361/932,850 = 932,850/x
  3. Step 3: Cross multiply
    395,361x = 932,850 × 932,850
  4. Step 4: Simplify right side
    395,361x = 870,209,122,500
  5. Step 5: Solve for x
    x = 870,209,122,500/395,361
  6. Step 6: Final answer
    x = 2,201,049.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.