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Finding the Third Proportional to 422,274 and 633,967

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Solution

The third proportional to 422,274 and 633,967 is: 951,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,274 : 633,967 = 633,967 : x
  2. Step 2: Convert to fraction form
    422,274/633,967 = 633,967/x
  3. Step 3: Cross multiply
    422,274x = 633,967 × 633,967
  4. Step 4: Simplify right side
    422,274x = 401,914,157,089
  5. Step 5: Solve for x
    x = 401,914,157,089/422,274
  6. Step 6: Final answer
    x = 951,785.23

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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.