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Finding the Third Proportional to 271,628,595 and 588,382,542

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Solution

The third proportional to 271,628,595 and 588,382,542 is: 1,274,512,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,628,595 : 588,382,542 = 588,382,542 : x
  2. Step 2: Convert to fraction form
    271,628,595/588,382,542 = 588,382,542/x
  3. Step 3: Cross multiply
    271,628,595x = 588,382,542 × 588,382,542
  4. Step 4: Simplify right side
    271,628,595x = 346,194,015,730,381,760
  5. Step 5: Solve for x
    x = 346,194,015,730,381,760/271,628,595
  6. Step 6: Final answer
    x = 1,274,512,411.81

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