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Finding the Third Proportional to 284,977 and 444,718

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Solution

The third proportional to 284,977 and 444,718 is: 694,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,977 : 444,718 = 444,718 : x
  2. Step 2: Convert to fraction form
    284,977/444,718 = 444,718/x
  3. Step 3: Cross multiply
    284,977x = 444,718 × 444,718
  4. Step 4: Simplify right side
    284,977x = 197,774,099,524
  5. Step 5: Solve for x
    x = 197,774,099,524/284,977
  6. Step 6: Final answer
    x = 694,000.22

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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.