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Finding the Third Proportional to 535,107 and 807,198

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Solution

The third proportional to 535,107 and 807,198 is: 1,217,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,107 : 807,198 = 807,198 : x
  2. Step 2: Convert to fraction form
    535,107/807,198 = 807,198/x
  3. Step 3: Cross multiply
    535,107x = 807,198 × 807,198
  4. Step 4: Simplify right side
    535,107x = 651,568,611,204
  5. Step 5: Solve for x
    x = 651,568,611,204/535,107
  6. Step 6: Final answer
    x = 1,217,641.73

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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.