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Finding the Third Proportional to 443,850 and 628,041

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Solution

The third proportional to 443,850 and 628,041 is: 888,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,850 : 628,041 = 628,041 : x
  2. Step 2: Convert to fraction form
    443,850/628,041 = 628,041/x
  3. Step 3: Cross multiply
    443,850x = 628,041 × 628,041
  4. Step 4: Simplify right side
    443,850x = 394,435,497,681
  5. Step 5: Solve for x
    x = 394,435,497,681/443,850
  6. Step 6: Final answer
    x = 888,668.46

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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.