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Finding the Third Proportional to 443,834 and 628,014

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Solution

The third proportional to 443,834 and 628,014 is: 888,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,834 : 628,014 = 628,014 : x
  2. Step 2: Convert to fraction form
    443,834/628,014 = 628,014/x
  3. Step 3: Cross multiply
    443,834x = 628,014 × 628,014
  4. Step 4: Simplify right side
    443,834x = 394,401,584,196
  5. Step 5: Solve for x
    x = 394,401,584,196/443,834
  6. Step 6: Final answer
    x = 888,624.09

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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.