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Finding the Third Proportional to 269,744 and 405,488

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Solution

The third proportional to 269,744 and 405,488 is: 609,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,744 : 405,488 = 405,488 : x
  2. Step 2: Convert to fraction form
    269,744/405,488 = 405,488/x
  3. Step 3: Cross multiply
    269,744x = 405,488 × 405,488
  4. Step 4: Simplify right side
    269,744x = 164,420,518,144
  5. Step 5: Solve for x
    x = 164,420,518,144/269,744
  6. Step 6: Final answer
    x = 609,542.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.