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Finding the Third Proportional to 203,967 and 440,685

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Solution

The third proportional to 203,967 and 440,685 is: 952,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,967 : 440,685 = 440,685 : x
  2. Step 2: Convert to fraction form
    203,967/440,685 = 440,685/x
  3. Step 3: Cross multiply
    203,967x = 440,685 × 440,685
  4. Step 4: Simplify right side
    203,967x = 194,203,269,225
  5. Step 5: Solve for x
    x = 194,203,269,225/203,967
  6. Step 6: Final answer
    x = 952,130.83

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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.