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Finding the Third Proportional to 271,628,589.38 and 588,382,529.34

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Solution

The third proportional to 271,628,589.38 and 588,382,529.34 is: 1,274,512,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,628,589.38 : 588,382,529.34 = 588,382,529.34 : x
  2. Step 2: Convert to fraction form
    271,628,589.38/588,382,529.34 = 588,382,529.34/x
  3. Step 3: Cross multiply
    271,628,589.38x = 588,382,529.34 × 588,382,529.34
  4. Step 4: Simplify right side
    271,628,589.38x = 346,194,000,836,960,640
  5. Step 5: Solve for x
    x = 346,194,000,836,960,640/271,628,589.38
  6. Step 6: Final answer
    x = 1,274,512,383.37

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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.