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Finding the Third Proportional to 274,744 and 579,008

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Solution

The third proportional to 274,744 and 579,008 is: 1,220,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,744 : 579,008 = 579,008 : x
  2. Step 2: Convert to fraction form
    274,744/579,008 = 579,008/x
  3. Step 3: Cross multiply
    274,744x = 579,008 × 579,008
  4. Step 4: Simplify right side
    274,744x = 335,250,264,064
  5. Step 5: Solve for x
    x = 335,250,264,064/274,744
  6. Step 6: Final answer
    x = 1,220,227.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.