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Finding the Third Proportional to 422,272 and 633,964

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Solution

The third proportional to 422,272 and 633,964 is: 951,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,272 : 633,964 = 633,964 : x
  2. Step 2: Convert to fraction form
    422,272/633,964 = 633,964/x
  3. Step 3: Cross multiply
    422,272x = 633,964 × 633,964
  4. Step 4: Simplify right side
    422,272x = 401,910,353,296
  5. Step 5: Solve for x
    x = 401,910,353,296/422,272
  6. Step 6: Final answer
    x = 951,780.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.