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Finding the Third Proportional to 284,991 and 444,741

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Solution

The third proportional to 284,991 and 444,741 is: 694,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,991 : 444,741 = 444,741 : x
  2. Step 2: Convert to fraction form
    284,991/444,741 = 444,741/x
  3. Step 3: Cross multiply
    284,991x = 444,741 × 444,741
  4. Step 4: Simplify right side
    284,991x = 197,794,557,081
  5. Step 5: Solve for x
    x = 197,794,557,081/284,991
  6. Step 6: Final answer
    x = 694,037.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.