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Finding the Third Proportional to 350,883 and 827,757

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Solution

The third proportional to 350,883 and 827,757 is: 1,952,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,883 : 827,757 = 827,757 : x
  2. Step 2: Convert to fraction form
    350,883/827,757 = 827,757/x
  3. Step 3: Cross multiply
    350,883x = 827,757 × 827,757
  4. Step 4: Simplify right side
    350,883x = 685,181,651,049
  5. Step 5: Solve for x
    x = 685,181,651,049/350,883
  6. Step 6: Final answer
    x = 1,952,735.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.