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Finding the Third Proportional to 241,744 and 339,828

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Solution

The third proportional to 241,744 and 339,828 is: 477,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,744 : 339,828 = 339,828 : x
  2. Step 2: Convert to fraction form
    241,744/339,828 = 339,828/x
  3. Step 3: Cross multiply
    241,744x = 339,828 × 339,828
  4. Step 4: Simplify right side
    241,744x = 115,483,069,584
  5. Step 5: Solve for x
    x = 115,483,069,584/241,744
  6. Step 6: Final answer
    x = 477,708.11

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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.