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Finding the Third Proportional to 274,041 and 597,883

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Solution

The third proportional to 274,041 and 597,883 is: 1,304,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,041 : 597,883 = 597,883 : x
  2. Step 2: Convert to fraction form
    274,041/597,883 = 597,883/x
  3. Step 3: Cross multiply
    274,041x = 597,883 × 597,883
  4. Step 4: Simplify right side
    274,041x = 357,464,081,689
  5. Step 5: Solve for x
    x = 357,464,081,689/274,041
  6. Step 6: Final answer
    x = 1,304,418.25

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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.