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Finding the Third Proportional to 537,496 and 813,198

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Solution

The third proportional to 537,496 and 813,198 is: 1,230,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,496 : 813,198 = 813,198 : x
  2. Step 2: Convert to fraction form
    537,496/813,198 = 813,198/x
  3. Step 3: Cross multiply
    537,496x = 813,198 × 813,198
  4. Step 4: Simplify right side
    537,496x = 661,290,987,204
  5. Step 5: Solve for x
    x = 661,290,987,204/537,496
  6. Step 6: Final answer
    x = 1,230,317.97

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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.