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Finding the Third Proportional to 241,704 and 339,768

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Solution

The third proportional to 241,704 and 339,768 is: 477,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,704 : 339,768 = 339,768 : x
  2. Step 2: Convert to fraction form
    241,704/339,768 = 339,768/x
  3. Step 3: Cross multiply
    241,704x = 339,768 × 339,768
  4. Step 4: Simplify right side
    241,704x = 115,442,293,824
  5. Step 5: Solve for x
    x = 115,442,293,824/241,704
  6. Step 6: Final answer
    x = 477,618.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.