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Finding the Third Proportional to 273,933 and 597,694

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Solution

The third proportional to 273,933 and 597,694 is: 1,304,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,933 : 597,694 = 597,694 : x
  2. Step 2: Convert to fraction form
    273,933/597,694 = 597,694/x
  3. Step 3: Cross multiply
    273,933x = 597,694 × 597,694
  4. Step 4: Simplify right side
    273,933x = 357,238,117,636
  5. Step 5: Solve for x
    x = 357,238,117,636/273,933
  6. Step 6: Final answer
    x = 1,304,107.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.