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Finding the Third Proportional to 443,865 and 628,059

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Solution

The third proportional to 443,865 and 628,059 is: 888,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,865 : 628,059 = 628,059 : x
  2. Step 2: Convert to fraction form
    443,865/628,059 = 628,059/x
  3. Step 3: Cross multiply
    443,865x = 628,059 × 628,059
  4. Step 4: Simplify right side
    443,865x = 394,458,107,481
  5. Step 5: Solve for x
    x = 394,458,107,481/443,865
  6. Step 6: Final answer
    x = 888,689.37

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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.