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Finding the Third Proportional to 546,942.38 and 827,956.69

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Solution

The third proportional to 546,942.38 and 827,956.69 is: 1,253,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,942.38 : 827,956.69 = 827,956.69 : x
  2. Step 2: Convert to fraction form
    546,942.38/827,956.69 = 827,956.69/x
  3. Step 3: Cross multiply
    546,942.38x = 827,956.69 × 827,956.69
  4. Step 4: Simplify right side
    546,942.38x = 685,512,276,375.97
  5. Step 5: Solve for x
    x = 685,512,276,375.97/546,942.38
  6. Step 6: Final answer
    x = 1,253,353.75

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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.