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Finding the Third Proportional to 274,540 and 601,568

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Solution

The third proportional to 274,540 and 601,568 is: 1,318,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,540 : 601,568 = 601,568 : x
  2. Step 2: Convert to fraction form
    274,540/601,568 = 601,568/x
  3. Step 3: Cross multiply
    274,540x = 601,568 × 601,568
  4. Step 4: Simplify right side
    274,540x = 361,884,058,624
  5. Step 5: Solve for x
    x = 361,884,058,624/274,540
  6. Step 6: Final answer
    x = 1,318,146.93

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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.