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Finding the Third Proportional to 269,472 and 449,093.25

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Solution

The third proportional to 269,472 and 449,093.25 is: 748,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,472 : 449,093.25 = 449,093.25 : x
  2. Step 2: Convert to fraction form
    269,472/449,093.25 = 449,093.25/x
  3. Step 3: Cross multiply
    269,472x = 449,093.25 × 449,093.25
  4. Step 4: Simplify right side
    269,472x = 201,684,747,195.56
  5. Step 5: Solve for x
    x = 201,684,747,195.56/269,472
  6. Step 6: Final answer
    x = 748,444.17

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.