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Finding the Third Proportional to 444,272 and 959,504

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Solution

The third proportional to 444,272 and 959,504 is: 2,072,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,272 : 959,504 = 959,504 : x
  2. Step 2: Convert to fraction form
    444,272/959,504 = 959,504/x
  3. Step 3: Cross multiply
    444,272x = 959,504 × 959,504
  4. Step 4: Simplify right side
    444,272x = 920,647,926,016
  5. Step 5: Solve for x
    x = 920,647,926,016/444,272
  6. Step 6: Final answer
    x = 2,072,261.87

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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.