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Finding the Third Proportional to 698,233.50 and 1,067,640.75

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Solution

The third proportional to 698,233.50 and 1,067,640.75 is: 1,632,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,233.50 : 1,067,640.75 = 1,067,640.75 : x
  2. Step 2: Convert to fraction form
    698,233.50/1,067,640.75 = 1,067,640.75/x
  3. Step 3: Cross multiply
    698,233.50x = 1,067,640.75 × 1,067,640.75
  4. Step 4: Simplify right side
    698,233.50x = 1,139,856,771,060.56
  5. Step 5: Solve for x
    x = 1,139,856,771,060.56/698,233.50
  6. Step 6: Final answer
    x = 1,632,486.51

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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.