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Finding the Third Proportional to 471,238.70 and 666,261.86

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Solution

The third proportional to 471,238.70 and 666,261.86 is: 941,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,238.70 : 666,261.86 = 666,261.86 : x
  2. Step 2: Convert to fraction form
    471,238.70/666,261.86 = 666,261.86/x
  3. Step 3: Cross multiply
    471,238.70x = 666,261.86 × 666,261.86
  4. Step 4: Simplify right side
    471,238.70x = 443,904,867,860.44
  5. Step 5: Solve for x
    x = 443,904,867,860.44/471,238.70
  6. Step 6: Final answer
    x = 941,995.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.