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Finding the Third Proportional to 351,782 and 850,287

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Solution

The third proportional to 351,782 and 850,287 is: 2,055,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,782 : 850,287 = 850,287 : x
  2. Step 2: Convert to fraction form
    351,782/850,287 = 850,287/x
  3. Step 3: Cross multiply
    351,782x = 850,287 × 850,287
  4. Step 4: Simplify right side
    351,782x = 722,987,982,369
  5. Step 5: Solve for x
    x = 722,987,982,369/351,782
  6. Step 6: Final answer
    x = 2,055,215.96

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.