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Finding the Third Proportional to 269,252 and 590,728

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Solution

The third proportional to 269,252 and 590,728 is: 1,296,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,252 : 590,728 = 590,728 : x
  2. Step 2: Convert to fraction form
    269,252/590,728 = 590,728/x
  3. Step 3: Cross multiply
    269,252x = 590,728 × 590,728
  4. Step 4: Simplify right side
    269,252x = 348,959,569,984
  5. Step 5: Solve for x
    x = 348,959,569,984/269,252
  6. Step 6: Final answer
    x = 1,296,033.34

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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.