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Finding the Third Proportional to 271,473.75 and 596,255.63

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Solution

The third proportional to 271,473.75 and 596,255.63 is: 1,309,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,473.75 : 596,255.63 = 596,255.63 : x
  2. Step 2: Convert to fraction form
    271,473.75/596,255.63 = 596,255.63/x
  3. Step 3: Cross multiply
    271,473.75x = 596,255.63 × 596,255.63
  4. Step 4: Simplify right side
    271,473.75x = 355,520,770,344.14
  5. Step 5: Solve for x
    x = 355,520,770,344.14/271,473.75
  6. Step 6: Final answer
    x = 1,309,595.39

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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.