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Finding the Third Proportional to 271,522.13 and 406,756.69

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Solution

The third proportional to 271,522.13 and 406,756.69 is: 609,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,522.13 : 406,756.69 = 406,756.69 : x
  2. Step 2: Convert to fraction form
    271,522.13/406,756.69 = 406,756.69/x
  3. Step 3: Cross multiply
    271,522.13x = 406,756.69 × 406,756.69
  4. Step 4: Simplify right side
    271,522.13x = 165,451,002,825.97
  5. Step 5: Solve for x
    x = 165,451,002,825.97/271,522.13
  6. Step 6: Final answer
    x = 609,346.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.