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Finding the Third Proportional to 207,936 and 440,676

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Solution

The third proportional to 207,936 and 440,676 is: 933,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,936 : 440,676 = 440,676 : x
  2. Step 2: Convert to fraction form
    207,936/440,676 = 440,676/x
  3. Step 3: Cross multiply
    207,936x = 440,676 × 440,676
  4. Step 4: Simplify right side
    207,936x = 194,195,336,976
  5. Step 5: Solve for x
    x = 194,195,336,976/207,936
  6. Step 6: Final answer
    x = 933,918.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.