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Finding the Third Proportional to 269,208 and 403,812

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Solution

The third proportional to 269,208 and 403,812 is: 605,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,208 : 403,812 = 403,812 : x
  2. Step 2: Convert to fraction form
    269,208/403,812 = 403,812/x
  3. Step 3: Cross multiply
    269,208x = 403,812 × 403,812
  4. Step 4: Simplify right side
    269,208x = 163,064,131,344
  5. Step 5: Solve for x
    x = 163,064,131,344/269,208
  6. Step 6: Final answer
    x = 605,718

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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.