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Finding the Third Proportional to 443,832.75 and 628,013.25

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Solution

The third proportional to 443,832.75 and 628,013.25 is: 888,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,832.75 : 628,013.25 = 628,013.25 : x
  2. Step 2: Convert to fraction form
    443,832.75/628,013.25 = 628,013.25/x
  3. Step 3: Cross multiply
    443,832.75x = 628,013.25 × 628,013.25
  4. Step 4: Simplify right side
    443,832.75x = 394,400,642,175.56
  5. Step 5: Solve for x
    x = 394,400,642,175.56/443,832.75
  6. Step 6: Final answer
    x = 888,624.47

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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.