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Finding the Third Proportional to 244,766 and 378,266

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Solution

The third proportional to 244,766 and 378,266 is: 584,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,766 : 378,266 = 378,266 : x
  2. Step 2: Convert to fraction form
    244,766/378,266 = 378,266/x
  3. Step 3: Cross multiply
    244,766x = 378,266 × 378,266
  4. Step 4: Simplify right side
    244,766x = 143,085,166,756
  5. Step 5: Solve for x
    x = 143,085,166,756/244,766
  6. Step 6: Final answer
    x = 584,579.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.