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Finding the Third Proportional to 262,242 and 397,326

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Solution

The third proportional to 262,242 and 397,326 is: 601,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,242 : 397,326 = 397,326 : x
  2. Step 2: Convert to fraction form
    262,242/397,326 = 397,326/x
  3. Step 3: Cross multiply
    262,242x = 397,326 × 397,326
  4. Step 4: Simplify right side
    262,242x = 157,867,950,276
  5. Step 5: Solve for x
    x = 157,867,950,276/262,242
  6. Step 6: Final answer
    x = 601,993.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.