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Finding the Third Proportional to 230,846 and 347,790

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Solution

The third proportional to 230,846 and 347,790 is: 523,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,846 : 347,790 = 347,790 : x
  2. Step 2: Convert to fraction form
    230,846/347,790 = 347,790/x
  3. Step 3: Cross multiply
    230,846x = 347,790 × 347,790
  4. Step 4: Simplify right side
    230,846x = 120,957,884,100
  5. Step 5: Solve for x
    x = 120,957,884,100/230,846
  6. Step 6: Final answer
    x = 523,976.52

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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.