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Finding the Third Proportional to 200,992 and 436,976

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Solution

The third proportional to 200,992 and 436,976 is: 950,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,992 : 436,976 = 436,976 : x
  2. Step 2: Convert to fraction form
    200,992/436,976 = 436,976/x
  3. Step 3: Cross multiply
    200,992x = 436,976 × 436,976
  4. Step 4: Simplify right side
    200,992x = 190,948,024,576
  5. Step 5: Solve for x
    x = 190,948,024,576/200,992
  6. Step 6: Final answer
    x = 950,027.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.