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Finding the Third Proportional to 271,296.84 and 399,104.72

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Solution

The third proportional to 271,296.84 and 399,104.72 is: 587,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,296.84 : 399,104.72 = 399,104.72 : x
  2. Step 2: Convert to fraction form
    271,296.84/399,104.72 = 399,104.72/x
  3. Step 3: Cross multiply
    271,296.84x = 399,104.72 × 399,104.72
  4. Step 4: Simplify right side
    271,296.84x = 159,284,576,528.52
  5. Step 5: Solve for x
    x = 159,284,576,528.52/271,296.84
  6. Step 6: Final answer
    x = 587,122.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.