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Finding the Third Proportional to 301,438 and 650,198

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Solution

The third proportional to 301,438 and 650,198 is: 1,402,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,438 : 650,198 = 650,198 : x
  2. Step 2: Convert to fraction form
    301,438/650,198 = 650,198/x
  3. Step 3: Cross multiply
    301,438x = 650,198 × 650,198
  4. Step 4: Simplify right side
    301,438x = 422,757,439,204
  5. Step 5: Solve for x
    x = 422,757,439,204/301,438
  6. Step 6: Final answer
    x = 1,402,468.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.