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Finding the Third Proportional to 698,372 and 1,067,863.50

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Solution

The third proportional to 698,372 and 1,067,863.50 is: 1,632,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,372 : 1,067,863.50 = 1,067,863.50 : x
  2. Step 2: Convert to fraction form
    698,372/1,067,863.50 = 1,067,863.50/x
  3. Step 3: Cross multiply
    698,372x = 1,067,863.50 × 1,067,863.50
  4. Step 4: Simplify right side
    698,372x = 1,140,332,454,632.25
  5. Step 5: Solve for x
    x = 1,140,332,454,632.25/698,372
  6. Step 6: Final answer
    x = 1,632,843.89

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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.