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Finding the Third Proportional to 271,150 and 590,555

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Solution

The third proportional to 271,150 and 590,555 is: 1,286,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,150 : 590,555 = 590,555 : x
  2. Step 2: Convert to fraction form
    271,150/590,555 = 590,555/x
  3. Step 3: Cross multiply
    271,150x = 590,555 × 590,555
  4. Step 4: Simplify right side
    271,150x = 348,755,208,025
  5. Step 5: Solve for x
    x = 348,755,208,025/271,150
  6. Step 6: Final answer
    x = 1,286,207.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.