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Finding the Third Proportional to 226,758 and 494,340

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Solution

The third proportional to 226,758 and 494,340 is: 1,077,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,758 : 494,340 = 494,340 : x
  2. Step 2: Convert to fraction form
    226,758/494,340 = 494,340/x
  3. Step 3: Cross multiply
    226,758x = 494,340 × 494,340
  4. Step 4: Simplify right side
    226,758x = 244,372,035,600
  5. Step 5: Solve for x
    x = 244,372,035,600/226,758
  6. Step 6: Final answer
    x = 1,077,677.68

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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.