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Finding the Third Proportional to 376,761.38 and 526,997.81

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Solution

The third proportional to 376,761.38 and 526,997.81 is: 737,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,761.38 : 526,997.81 = 526,997.81 : x
  2. Step 2: Convert to fraction form
    376,761.38/526,997.81 = 526,997.81/x
  3. Step 3: Cross multiply
    376,761.38x = 526,997.81 × 526,997.81
  4. Step 4: Simplify right side
    376,761.38x = 277,726,694,379.79
  5. Step 5: Solve for x
    x = 277,726,694,379.79/376,761.38
  6. Step 6: Final answer
    x = 737,142.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.