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Finding the Third Proportional to 511,440.75 and 767,161.13

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Solution

The third proportional to 511,440.75 and 767,161.13 is: 1,150,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,440.75 : 767,161.13 = 767,161.13 : x
  2. Step 2: Convert to fraction form
    511,440.75/767,161.13 = 767,161.13/x
  3. Step 3: Cross multiply
    511,440.75x = 767,161.13 × 767,161.13
  4. Step 4: Simplify right side
    511,440.75x = 588,536,191,711.27
  5. Step 5: Solve for x
    x = 588,536,191,711.27/511,440.75
  6. Step 6: Final answer
    x = 1,150,741.69

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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.