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Finding the Third Proportional to 281,512.97 and 612,132.19

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Solution

The third proportional to 281,512.97 and 612,132.19 is: 1,331,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,512.97 : 612,132.19 = 612,132.19 : x
  2. Step 2: Convert to fraction form
    281,512.97/612,132.19 = 612,132.19/x
  3. Step 3: Cross multiply
    281,512.97x = 612,132.19 × 612,132.19
  4. Step 4: Simplify right side
    281,512.97x = 374,705,814,973.54
  5. Step 5: Solve for x
    x = 374,705,814,973.54/281,512.97
  6. Step 6: Final answer
    x = 1,331,042.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.