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Finding the Third Proportional to 271,625.91 and 596,446.03

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Solution

The third proportional to 271,625.91 and 596,446.03 is: 1,309,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,625.91 : 596,446.03 = 596,446.03 : x
  2. Step 2: Convert to fraction form
    271,625.91/596,446.03 = 596,446.03/x
  3. Step 3: Cross multiply
    271,625.91x = 596,446.03 × 596,446.03
  4. Step 4: Simplify right side
    271,625.91x = 355,747,868,193.88
  5. Step 5: Solve for x
    x = 355,747,868,193.88/271,625.91
  6. Step 6: Final answer
    x = 1,309,697.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.