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Finding the Third Proportional to 204,724 and 440,544

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Solution

The third proportional to 204,724 and 440,544 is: 948,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,724 : 440,544 = 440,544 : x
  2. Step 2: Convert to fraction form
    204,724/440,544 = 440,544/x
  3. Step 3: Cross multiply
    204,724x = 440,544 × 440,544
  4. Step 4: Simplify right side
    204,724x = 194,079,015,936
  5. Step 5: Solve for x
    x = 194,079,015,936/204,724
  6. Step 6: Final answer
    x = 948,003.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.