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Finding the Third Proportional to 274,956.75 and 414,198

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Solution

The third proportional to 274,956.75 and 414,198 is: 623,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,956.75 : 414,198 = 414,198 : x
  2. Step 2: Convert to fraction form
    274,956.75/414,198 = 414,198/x
  3. Step 3: Cross multiply
    274,956.75x = 414,198 × 414,198
  4. Step 4: Simplify right side
    274,956.75x = 171,559,983,204
  5. Step 5: Solve for x
    x = 171,559,983,204/274,956.75
  6. Step 6: Final answer
    x = 623,952.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.