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Finding the Third Proportional to 422,268 and 633,955.50

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Solution

The third proportional to 422,268 and 633,955.50 is: 951,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,268 : 633,955.50 = 633,955.50 : x
  2. Step 2: Convert to fraction form
    422,268/633,955.50 = 633,955.50/x
  3. Step 3: Cross multiply
    422,268x = 633,955.50 × 633,955.50
  4. Step 4: Simplify right side
    422,268x = 401,899,575,980.25
  5. Step 5: Solve for x
    x = 401,899,575,980.25/422,268
  6. Step 6: Final answer
    x = 951,764.23

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