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Finding the Third Proportional to 366,204 and 548,944

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Solution

The third proportional to 366,204 and 548,944 is: 822,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,204 : 548,944 = 548,944 : x
  2. Step 2: Convert to fraction form
    366,204/548,944 = 548,944/x
  3. Step 3: Cross multiply
    366,204x = 548,944 × 548,944
  4. Step 4: Simplify right side
    366,204x = 301,339,515,136
  5. Step 5: Solve for x
    x = 301,339,515,136/366,204
  6. Step 6: Final answer
    x = 822,873.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.