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Finding the Third Proportional to 423,067.50 and 638,181

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Solution

The third proportional to 423,067.50 and 638,181 is: 962,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,067.50 : 638,181 = 638,181 : x
  2. Step 2: Convert to fraction form
    423,067.50/638,181 = 638,181/x
  3. Step 3: Cross multiply
    423,067.50x = 638,181 × 638,181
  4. Step 4: Simplify right side
    423,067.50x = 407,274,988,761
  5. Step 5: Solve for x
    x = 407,274,988,761/423,067.50
  6. Step 6: Final answer
    x = 962,671.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.