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Finding the Third Proportional to 289,840 and 618,198

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Solution

The third proportional to 289,840 and 618,198 is: 1,318,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,840 : 618,198 = 618,198 : x
  2. Step 2: Convert to fraction form
    289,840/618,198 = 618,198/x
  3. Step 3: Cross multiply
    289,840x = 618,198 × 618,198
  4. Step 4: Simplify right side
    289,840x = 382,168,767,204
  5. Step 5: Solve for x
    x = 382,168,767,204/289,840
  6. Step 6: Final answer
    x = 1,318,550.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.