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Finding the Third Proportional to 397,372 and 851,561

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Solution

The third proportional to 397,372 and 851,561 is: 1,824,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,372 : 851,561 = 851,561 : x
  2. Step 2: Convert to fraction form
    397,372/851,561 = 851,561/x
  3. Step 3: Cross multiply
    397,372x = 851,561 × 851,561
  4. Step 4: Simplify right side
    397,372x = 725,156,136,721
  5. Step 5: Solve for x
    x = 725,156,136,721/397,372
  6. Step 6: Final answer
    x = 1,824,879.80

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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.