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Finding the Third Proportional to 271,812 and 588,984

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Solution

The third proportional to 271,812 and 588,984 is: 1,276,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,812 : 588,984 = 588,984 : x
  2. Step 2: Convert to fraction form
    271,812/588,984 = 588,984/x
  3. Step 3: Cross multiply
    271,812x = 588,984 × 588,984
  4. Step 4: Simplify right side
    271,812x = 346,902,152,256
  5. Step 5: Solve for x
    x = 346,902,152,256/271,812
  6. Step 6: Final answer
    x = 1,276,257.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.