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Finding the Third Proportional to 339,774 and 408,051

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Solution

The third proportional to 339,774 and 408,051 is: 490,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,774 : 408,051 = 408,051 : x
  2. Step 2: Convert to fraction form
    339,774/408,051 = 408,051/x
  3. Step 3: Cross multiply
    339,774x = 408,051 × 408,051
  4. Step 4: Simplify right side
    339,774x = 166,505,618,601
  5. Step 5: Solve for x
    x = 166,505,618,601/339,774
  6. Step 6: Final answer
    x = 490,048.15

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.