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Finding the Third Proportional to 422,050 and 996,301

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Solution

The third proportional to 422,050 and 996,301 is: 2,351,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,050 : 996,301 = 996,301 : x
  2. Step 2: Convert to fraction form
    422,050/996,301 = 996,301/x
  3. Step 3: Cross multiply
    422,050x = 996,301 × 996,301
  4. Step 4: Simplify right side
    422,050x = 992,615,682,601
  5. Step 5: Solve for x
    x = 992,615,682,601/422,050
  6. Step 6: Final answer
    x = 2,351,891.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.