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Finding the Third Proportional to 444,276 and 959,512

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Solution

The third proportional to 444,276 and 959,512 is: 2,072,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,276 : 959,512 = 959,512 : x
  2. Step 2: Convert to fraction form
    444,276/959,512 = 959,512/x
  3. Step 3: Cross multiply
    444,276x = 959,512 × 959,512
  4. Step 4: Simplify right side
    444,276x = 920,663,278,144
  5. Step 5: Solve for x
    x = 920,663,278,144/444,276
  6. Step 6: Final answer
    x = 2,072,277.77

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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.