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Finding the Third Proportional to 366,961 and 773,819

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Solution

The third proportional to 366,961 and 773,819 is: 1,631,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,961 : 773,819 = 773,819 : x
  2. Step 2: Convert to fraction form
    366,961/773,819 = 773,819/x
  3. Step 3: Cross multiply
    366,961x = 773,819 × 773,819
  4. Step 4: Simplify right side
    366,961x = 598,795,844,761
  5. Step 5: Solve for x
    x = 598,795,844,761/366,961
  6. Step 6: Final answer
    x = 1,631,769.71

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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.