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Finding the Third Proportional to 269,723 and 405,278

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Solution

The third proportional to 269,723 and 405,278 is: 608,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,723 : 405,278 = 405,278 : x
  2. Step 2: Convert to fraction form
    269,723/405,278 = 405,278/x
  3. Step 3: Cross multiply
    269,723x = 405,278 × 405,278
  4. Step 4: Simplify right side
    269,723x = 164,250,257,284
  5. Step 5: Solve for x
    x = 164,250,257,284/269,723
  6. Step 6: Final answer
    x = 608,959.03

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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.