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Finding the Third Proportional to 511,440.50 and 767,161

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Solution

The third proportional to 511,440.50 and 767,161 is: 1,150,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,440.50 : 767,161 = 767,161 : x
  2. Step 2: Convert to fraction form
    511,440.50/767,161 = 767,161/x
  3. Step 3: Cross multiply
    511,440.50x = 767,161 × 767,161
  4. Step 4: Simplify right side
    511,440.50x = 588,535,999,921
  5. Step 5: Solve for x
    x = 588,535,999,921/511,440.50
  6. Step 6: Final answer
    x = 1,150,741.88

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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.