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Finding the Third Proportional to 380,934 and 819,198

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Solution

The third proportional to 380,934 and 819,198 is: 1,761,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,934 : 819,198 = 819,198 : x
  2. Step 2: Convert to fraction form
    380,934/819,198 = 819,198/x
  3. Step 3: Cross multiply
    380,934x = 819,198 × 819,198
  4. Step 4: Simplify right side
    380,934x = 671,085,363,204
  5. Step 5: Solve for x
    x = 671,085,363,204/380,934
  6. Step 6: Final answer
    x = 1,761,684.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.