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Finding the Third Proportional to 414,898.50 and 845,016

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Solution

The third proportional to 414,898.50 and 845,016 is: 1,721,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,898.50 : 845,016 = 845,016 : x
  2. Step 2: Convert to fraction form
    414,898.50/845,016 = 845,016/x
  3. Step 3: Cross multiply
    414,898.50x = 845,016 × 845,016
  4. Step 4: Simplify right side
    414,898.50x = 714,052,040,256
  5. Step 5: Solve for x
    x = 714,052,040,256/414,898.50
  6. Step 6: Final answer
    x = 1,721,028.25

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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.