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Finding the Third Proportional to 203,701 and 438,608

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Solution

The third proportional to 203,701 and 438,608 is: 944,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,701 : 438,608 = 438,608 : x
  2. Step 2: Convert to fraction form
    203,701/438,608 = 438,608/x
  3. Step 3: Cross multiply
    203,701x = 438,608 × 438,608
  4. Step 4: Simplify right side
    203,701x = 192,376,977,664
  5. Step 5: Solve for x
    x = 192,376,977,664/203,701
  6. Step 6: Final answer
    x = 944,408.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.