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Finding the Third Proportional to 422,595 and 633,771

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Solution

The third proportional to 422,595 and 633,771 is: 950,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,595 : 633,771 = 633,771 : x
  2. Step 2: Convert to fraction form
    422,595/633,771 = 633,771/x
  3. Step 3: Cross multiply
    422,595x = 633,771 × 633,771
  4. Step 4: Simplify right side
    422,595x = 401,665,680,441
  5. Step 5: Solve for x
    x = 401,665,680,441/422,595
  6. Step 6: Final answer
    x = 950,474.28

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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.