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Finding the Third Proportional to 244,395 and 511,134

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Solution

The third proportional to 244,395 and 511,134 is: 1,068,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,395 : 511,134 = 511,134 : x
  2. Step 2: Convert to fraction form
    244,395/511,134 = 511,134/x
  3. Step 3: Cross multiply
    244,395x = 511,134 × 511,134
  4. Step 4: Simplify right side
    244,395x = 261,257,965,956
  5. Step 5: Solve for x
    x = 261,257,965,956/244,395
  6. Step 6: Final answer
    x = 1,068,998.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.