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Finding the Third Proportional to 293,997 and 637,782

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Solution

The third proportional to 293,997 and 637,782 is: 1,383,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,997 : 637,782 = 637,782 : x
  2. Step 2: Convert to fraction form
    293,997/637,782 = 637,782/x
  3. Step 3: Cross multiply
    293,997x = 637,782 × 637,782
  4. Step 4: Simplify right side
    293,997x = 406,765,879,524
  5. Step 5: Solve for x
    x = 406,765,879,524/293,997
  6. Step 6: Final answer
    x = 1,383,571.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.