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Finding the Third Proportional to 269,812 and 404,742

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Solution

The third proportional to 269,812 and 404,742 is: 607,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,812 : 404,742 = 404,742 : x
  2. Step 2: Convert to fraction form
    269,812/404,742 = 404,742/x
  3. Step 3: Cross multiply
    269,812x = 404,742 × 404,742
  4. Step 4: Simplify right side
    269,812x = 163,816,086,564
  5. Step 5: Solve for x
    x = 163,816,086,564/269,812
  6. Step 6: Final answer
    x = 607,149.00

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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.