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Finding the Third Proportional to 197,860 and 426,824

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Solution

The third proportional to 197,860 and 426,824 is: 920,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,860 : 426,824 = 426,824 : x
  2. Step 2: Convert to fraction form
    197,860/426,824 = 426,824/x
  3. Step 3: Cross multiply
    197,860x = 426,824 × 426,824
  4. Step 4: Simplify right side
    197,860x = 182,178,726,976
  5. Step 5: Solve for x
    x = 182,178,726,976/197,860
  6. Step 6: Final answer
    x = 920,745.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.