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Finding the Third Proportional to 338,296 and 444,940

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Solution

The third proportional to 338,296 and 444,940 is: 585,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,296 : 444,940 = 444,940 : x
  2. Step 2: Convert to fraction form
    338,296/444,940 = 444,940/x
  3. Step 3: Cross multiply
    338,296x = 444,940 × 444,940
  4. Step 4: Simplify right side
    338,296x = 197,971,603,600
  5. Step 5: Solve for x
    x = 197,971,603,600/338,296
  6. Step 6: Final answer
    x = 585,202.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.