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Finding the Third Proportional to 281,994.19 and 587,224.13

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Solution

The third proportional to 281,994.19 and 587,224.13 is: 1,222,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,994.19 : 587,224.13 = 587,224.13 : x
  2. Step 2: Convert to fraction form
    281,994.19/587,224.13 = 587,224.13/x
  3. Step 3: Cross multiply
    281,994.19x = 587,224.13 × 587,224.13
  4. Step 4: Simplify right side
    281,994.19x = 344,832,172,982.02
  5. Step 5: Solve for x
    x = 344,832,172,982.02/281,994.19
  6. Step 6: Final answer
    x = 1,222,834.33

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.