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Finding the Third Proportional to 368,386 and 814,198

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Solution

The third proportional to 368,386 and 814,198 is: 1,799,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,386 : 814,198 = 814,198 : x
  2. Step 2: Convert to fraction form
    368,386/814,198 = 814,198/x
  3. Step 3: Cross multiply
    368,386x = 814,198 × 814,198
  4. Step 4: Simplify right side
    368,386x = 662,918,383,204
  5. Step 5: Solve for x
    x = 662,918,383,204/368,386
  6. Step 6: Final answer
    x = 1,799,521.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.