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Finding the Third Proportional to 230,880 and 494,610

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Solution

The third proportional to 230,880 and 494,610 is: 1,059,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,880 : 494,610 = 494,610 : x
  2. Step 2: Convert to fraction form
    230,880/494,610 = 494,610/x
  3. Step 3: Cross multiply
    230,880x = 494,610 × 494,610
  4. Step 4: Simplify right side
    230,880x = 244,639,052,100
  5. Step 5: Solve for x
    x = 244,639,052,100/230,880
  6. Step 6: Final answer
    x = 1,059,593.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.