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Finding the Third Proportional to 443,502 and 682,626

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Solution

The third proportional to 443,502 and 682,626 is: 1,050,679.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,502 : 682,626 = 682,626 : x
  2. Step 2: Convert to fraction form
    443,502/682,626 = 682,626/x
  3. Step 3: Cross multiply
    443,502x = 682,626 × 682,626
  4. Step 4: Simplify right side
    443,502x = 465,978,255,876
  5. Step 5: Solve for x
    x = 465,978,255,876/443,502
  6. Step 6: Final answer
    x = 1,050,679.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.