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Finding the Third Proportional to 271,217.06 and 590,649.19

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Solution

The third proportional to 271,217.06 and 590,649.19 is: 1,286,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,217.06 : 590,649.19 = 590,649.19 : x
  2. Step 2: Convert to fraction form
    271,217.06/590,649.19 = 590,649.19/x
  3. Step 3: Cross multiply
    271,217.06x = 590,649.19 × 590,649.19
  4. Step 4: Simplify right side
    271,217.06x = 348,866,462,694.41
  5. Step 5: Solve for x
    x = 348,866,462,694.41/271,217.06
  6. Step 6: Final answer
    x = 1,286,299.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.