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Finding the Third Proportional to 242,037 and 494,766

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Solution

The third proportional to 242,037 and 494,766 is: 1,011,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,037 : 494,766 = 494,766 : x
  2. Step 2: Convert to fraction form
    242,037/494,766 = 494,766/x
  3. Step 3: Cross multiply
    242,037x = 494,766 × 494,766
  4. Step 4: Simplify right side
    242,037x = 244,793,394,756
  5. Step 5: Solve for x
    x = 244,793,394,756/242,037
  6. Step 6: Final answer
    x = 1,011,388.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.