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Finding the Third Proportional to 269,061 and 590,601

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Solution

The third proportional to 269,061 and 590,601 is: 1,296,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,061 : 590,601 = 590,601 : x
  2. Step 2: Convert to fraction form
    269,061/590,601 = 590,601/x
  3. Step 3: Cross multiply
    269,061x = 590,601 × 590,601
  4. Step 4: Simplify right side
    269,061x = 348,809,541,201
  5. Step 5: Solve for x
    x = 348,809,541,201/269,061
  6. Step 6: Final answer
    x = 1,296,395.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.