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Finding the Third Proportional to 269,859 and 396,039.75

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Solution

The third proportional to 269,859 and 396,039.75 is: 581,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,859 : 396,039.75 = 396,039.75 : x
  2. Step 2: Convert to fraction form
    269,859/396,039.75 = 396,039.75/x
  3. Step 3: Cross multiply
    269,859x = 396,039.75 × 396,039.75
  4. Step 4: Simplify right side
    269,859x = 156,847,483,580.06
  5. Step 5: Solve for x
    x = 156,847,483,580.06/269,859
  6. Step 6: Final answer
    x = 581,220.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.