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Finding the Third Proportional to 248,997 and 534,279

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Solution

The third proportional to 248,997 and 534,279 is: 1,146,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,997 : 534,279 = 534,279 : x
  2. Step 2: Convert to fraction form
    248,997/534,279 = 534,279/x
  3. Step 3: Cross multiply
    248,997x = 534,279 × 534,279
  4. Step 4: Simplify right side
    248,997x = 285,454,049,841
  5. Step 5: Solve for x
    x = 285,454,049,841/248,997
  6. Step 6: Final answer
    x = 1,146,415.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.