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Finding the Third Proportional to 862,229.25 and 1,305,272.25

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Solution

The third proportional to 862,229.25 and 1,305,272.25 is: 1,975,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,229.25 : 1,305,272.25 = 1,305,272.25 : x
  2. Step 2: Convert to fraction form
    862,229.25/1,305,272.25 = 1,305,272.25/x
  3. Step 3: Cross multiply
    862,229.25x = 1,305,272.25 × 1,305,272.25
  4. Step 4: Simplify right side
    862,229.25x = 1,703,735,646,620.06
  5. Step 5: Solve for x
    x = 1,703,735,646,620.06/862,229.25
  6. Step 6: Final answer
    x = 1,975,965.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.