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Finding the Third Proportional to 244,665 and 496,244

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Solution

The third proportional to 244,665 and 496,244 is: 1,006,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,665 : 496,244 = 496,244 : x
  2. Step 2: Convert to fraction form
    244,665/496,244 = 496,244/x
  3. Step 3: Cross multiply
    244,665x = 496,244 × 496,244
  4. Step 4: Simplify right side
    244,665x = 246,258,107,536
  5. Step 5: Solve for x
    x = 246,258,107,536/244,665
  6. Step 6: Final answer
    x = 1,006,511.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.