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Finding the Third Proportional to 443,832 and 628,011

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Solution

The third proportional to 443,832 and 628,011 is: 888,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,832 : 628,011 = 628,011 : x
  2. Step 2: Convert to fraction form
    443,832/628,011 = 628,011/x
  3. Step 3: Cross multiply
    443,832x = 628,011 × 628,011
  4. Step 4: Simplify right side
    443,832x = 394,397,816,121
  5. Step 5: Solve for x
    x = 394,397,816,121/443,832
  6. Step 6: Final answer
    x = 888,619.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.