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Finding the Third Proportional to 271,625,791 and 588,376,609

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Solution

The third proportional to 271,625,791 and 588,376,609 is: 1,274,499,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,625,791 : 588,376,609 = 588,376,609 : x
  2. Step 2: Convert to fraction form
    271,625,791/588,376,609 = 588,376,609/x
  3. Step 3: Cross multiply
    271,625,791x = 588,376,609 × 588,376,609
  4. Step 4: Simplify right side
    271,625,791x = 346,187,034,018,338,880
  5. Step 5: Solve for x
    x = 346,187,034,018,338,880/271,625,791
  6. Step 6: Final answer
    x = 1,274,499,865.21

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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.