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Finding the Third Proportional to 203,936 and 440,623

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Solution

The third proportional to 203,936 and 440,623 is: 952,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,936 : 440,623 = 440,623 : x
  2. Step 2: Convert to fraction form
    203,936/440,623 = 440,623/x
  3. Step 3: Cross multiply
    203,936x = 440,623 × 440,623
  4. Step 4: Simplify right side
    203,936x = 194,148,628,129
  5. Step 5: Solve for x
    x = 194,148,628,129/203,936
  6. Step 6: Final answer
    x = 952,007.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.