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Finding the Third Proportional to 397,204 and 851,262

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Solution

The third proportional to 397,204 and 851,262 is: 1,824,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,204 : 851,262 = 851,262 : x
  2. Step 2: Convert to fraction form
    397,204/851,262 = 851,262/x
  3. Step 3: Cross multiply
    397,204x = 851,262 × 851,262
  4. Step 4: Simplify right side
    397,204x = 724,646,992,644
  5. Step 5: Solve for x
    x = 724,646,992,644/397,204
  6. Step 6: Final answer
    x = 1,824,369.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.