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Finding the Third Proportional to 271,576.13 and 399,043.13

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Solution

The third proportional to 271,576.13 and 399,043.13 is: 586,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,576.13 : 399,043.13 = 399,043.13 : x
  2. Step 2: Convert to fraction form
    271,576.13/399,043.13 = 399,043.13/x
  3. Step 3: Cross multiply
    271,576.13x = 399,043.13 × 399,043.13
  4. Step 4: Simplify right side
    271,576.13x = 159,235,415,609.77
  5. Step 5: Solve for x
    x = 159,235,415,609.77/271,576.13
  6. Step 6: Final answer
    x = 586,338.05

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Why These Related Problems?

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