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Finding the Third Proportional to 269,256 and 590,736

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Solution

The third proportional to 269,256 and 590,736 is: 1,296,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,256 : 590,736 = 590,736 : x
  2. Step 2: Convert to fraction form
    269,256/590,736 = 590,736/x
  3. Step 3: Cross multiply
    269,256x = 590,736 × 590,736
  4. Step 4: Simplify right side
    269,256x = 348,969,021,696
  5. Step 5: Solve for x
    x = 348,969,021,696/269,256
  6. Step 6: Final answer
    x = 1,296,049.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.