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Finding the Third Proportional to 444,467 and 958,431

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Solution

The third proportional to 444,467 and 958,431 is: 2,066,722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,467 : 958,431 = 958,431 : x
  2. Step 2: Convert to fraction form
    444,467/958,431 = 958,431/x
  3. Step 3: Cross multiply
    444,467x = 958,431 × 958,431
  4. Step 4: Simplify right side
    444,467x = 918,589,981,761
  5. Step 5: Solve for x
    x = 918,589,981,761/444,467
  6. Step 6: Final answer
    x = 2,066,722.57

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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.