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Finding the Third Proportional to 208,960 and 444,544

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Solution

The third proportional to 208,960 and 444,544 is: 945,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,960 : 444,544 = 444,544 : x
  2. Step 2: Convert to fraction form
    208,960/444,544 = 444,544/x
  3. Step 3: Cross multiply
    208,960x = 444,544 × 444,544
  4. Step 4: Simplify right side
    208,960x = 197,619,367,936
  5. Step 5: Solve for x
    x = 197,619,367,936/208,960
  6. Step 6: Final answer
    x = 945,728.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.