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Finding the Third Proportional to 270,997 and 590,249

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Solution

The third proportional to 270,997 and 590,249 is: 1,285,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,997 : 590,249 = 590,249 : x
  2. Step 2: Convert to fraction form
    270,997/590,249 = 590,249/x
  3. Step 3: Cross multiply
    270,997x = 590,249 × 590,249
  4. Step 4: Simplify right side
    270,997x = 348,393,882,001
  5. Step 5: Solve for x
    x = 348,393,882,001/270,997
  6. Step 6: Final answer
    x = 1,285,600.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.