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Finding the Third Proportional to 232,876 and 350,670

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Solution

The third proportional to 232,876 and 350,670 is: 528,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,876 : 350,670 = 350,670 : x
  2. Step 2: Convert to fraction form
    232,876/350,670 = 350,670/x
  3. Step 3: Cross multiply
    232,876x = 350,670 × 350,670
  4. Step 4: Simplify right side
    232,876x = 122,969,448,900
  5. Step 5: Solve for x
    x = 122,969,448,900/232,876
  6. Step 6: Final answer
    x = 528,046.90

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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.