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Finding the Third Proportional to 366,836 and 804,977

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Solution

The third proportional to 366,836 and 804,977 is: 1,766,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,836 : 804,977 = 804,977 : x
  2. Step 2: Convert to fraction form
    366,836/804,977 = 804,977/x
  3. Step 3: Cross multiply
    366,836x = 804,977 × 804,977
  4. Step 4: Simplify right side
    366,836x = 647,987,970,529
  5. Step 5: Solve for x
    x = 647,987,970,529/366,836
  6. Step 6: Final answer
    x = 1,766,424.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.