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Finding the Third Proportional to 307,226 and 638,977

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Solution

The third proportional to 307,226 and 638,977 is: 1,328,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,226 : 638,977 = 638,977 : x
  2. Step 2: Convert to fraction form
    307,226/638,977 = 638,977/x
  3. Step 3: Cross multiply
    307,226x = 638,977 × 638,977
  4. Step 4: Simplify right side
    307,226x = 408,291,606,529
  5. Step 5: Solve for x
    x = 408,291,606,529/307,226
  6. Step 6: Final answer
    x = 1,328,961.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.