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Finding the Third Proportional to 372,736 and 804,977

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Solution

The third proportional to 372,736 and 804,977 is: 1,738,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,736 : 804,977 = 804,977 : x
  2. Step 2: Convert to fraction form
    372,736/804,977 = 804,977/x
  3. Step 3: Cross multiply
    372,736x = 804,977 × 804,977
  4. Step 4: Simplify right side
    372,736x = 647,987,970,529
  5. Step 5: Solve for x
    x = 647,987,970,529/372,736
  6. Step 6: Final answer
    x = 1,738,463.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.