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Finding the Third Proportional to 376,977 and 568,944

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Solution

The third proportional to 376,977 and 568,944 is: 858,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,977 : 568,944 = 568,944 : x
  2. Step 2: Convert to fraction form
    376,977/568,944 = 568,944/x
  3. Step 3: Cross multiply
    376,977x = 568,944 × 568,944
  4. Step 4: Simplify right side
    376,977x = 323,697,275,136
  5. Step 5: Solve for x
    x = 323,697,275,136/376,977
  6. Step 6: Final answer
    x = 858,665.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.