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Finding the Third Proportional to 511,440.94 and 767,161.31

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Solution

The third proportional to 511,440.94 and 767,161.31 is: 1,150,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,440.94 : 767,161.31 = 767,161.31 : x
  2. Step 2: Convert to fraction form
    511,440.94/767,161.31 = 767,161.31/x
  3. Step 3: Cross multiply
    511,440.94x = 767,161.31 × 767,161.31
  4. Step 4: Simplify right side
    511,440.94x = 588,536,479,396.72
  5. Step 5: Solve for x
    x = 588,536,479,396.72/511,440.94
  6. Step 6: Final answer
    x = 1,150,741.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.