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Finding the Third Proportional to 698,195.25 and 1,067,600.25

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Solution

The third proportional to 698,195.25 and 1,067,600.25 is: 1,632,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,195.25 : 1,067,600.25 = 1,067,600.25 : x
  2. Step 2: Convert to fraction form
    698,195.25/1,067,600.25 = 1,067,600.25/x
  3. Step 3: Cross multiply
    698,195.25x = 1,067,600.25 × 1,067,600.25
  4. Step 4: Simplify right side
    698,195.25x = 1,139,770,293,800.06
  5. Step 5: Solve for x
    x = 1,139,770,293,800.06/698,195.25
  6. Step 6: Final answer
    x = 1,632,452.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.