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Finding the Third Proportional to 414,942.50 and 845,112

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Solution

The third proportional to 414,942.50 and 845,112 is: 1,721,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,942.50 : 845,112 = 845,112 : x
  2. Step 2: Convert to fraction form
    414,942.50/845,112 = 845,112/x
  3. Step 3: Cross multiply
    414,942.50x = 845,112 × 845,112
  4. Step 4: Simplify right side
    414,942.50x = 714,214,292,544
  5. Step 5: Solve for x
    x = 714,214,292,544/414,942.50
  6. Step 6: Final answer
    x = 1,721,236.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.