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Finding the Third Proportional to 357,837 and 786,198

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Solution

The third proportional to 357,837 and 786,198 is: 1,727,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,837 : 786,198 = 786,198 : x
  2. Step 2: Convert to fraction form
    357,837/786,198 = 786,198/x
  3. Step 3: Cross multiply
    357,837x = 786,198 × 786,198
  4. Step 4: Simplify right side
    357,837x = 618,107,295,204
  5. Step 5: Solve for x
    x = 618,107,295,204/357,837
  6. Step 6: Final answer
    x = 1,727,343.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.