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Finding the Third Proportional to 443,835 and 628,016

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Solution

The third proportional to 443,835 and 628,016 is: 888,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,835 : 628,016 = 628,016 : x
  2. Step 2: Convert to fraction form
    443,835/628,016 = 628,016/x
  3. Step 3: Cross multiply
    443,835x = 628,016 × 628,016
  4. Step 4: Simplify right side
    443,835x = 394,404,096,256
  5. Step 5: Solve for x
    x = 394,404,096,256/443,835
  6. Step 6: Final answer
    x = 888,627.75

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