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Finding the Third Proportional to 271,227 and 590,672

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Solution

The third proportional to 271,227 and 590,672 is: 1,286,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,227 : 590,672 = 590,672 : x
  2. Step 2: Convert to fraction form
    271,227/590,672 = 590,672/x
  3. Step 3: Cross multiply
    271,227x = 590,672 × 590,672
  4. Step 4: Simplify right side
    271,227x = 348,893,411,584
  5. Step 5: Solve for x
    x = 348,893,411,584/271,227
  6. Step 6: Final answer
    x = 1,286,352.07

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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.