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Finding the Third Proportional to 366,974 and 773,736

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Solution

The third proportional to 366,974 and 773,736 is: 1,631,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,974 : 773,736 = 773,736 : x
  2. Step 2: Convert to fraction form
    366,974/773,736 = 773,736/x
  3. Step 3: Cross multiply
    366,974x = 773,736 × 773,736
  4. Step 4: Simplify right side
    366,974x = 598,667,397,696
  5. Step 5: Solve for x
    x = 598,667,397,696/366,974
  6. Step 6: Final answer
    x = 1,631,361.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.