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Finding the Third Proportional to 218,974.50 and 472,131

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Solution

The third proportional to 218,974.50 and 472,131 is: 1,017,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,974.50 : 472,131 = 472,131 : x
  2. Step 2: Convert to fraction form
    218,974.50/472,131 = 472,131/x
  3. Step 3: Cross multiply
    218,974.50x = 472,131 × 472,131
  4. Step 4: Simplify right side
    218,974.50x = 222,907,681,161
  5. Step 5: Solve for x
    x = 222,907,681,161/218,974.50
  6. Step 6: Final answer
    x = 1,017,961.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.