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Finding the Third Proportional to 271,568 and 596,632

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Solution

The third proportional to 271,568 and 596,632 is: 1,310,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,568 : 596,632 = 596,632 : x
  2. Step 2: Convert to fraction form
    271,568/596,632 = 596,632/x
  3. Step 3: Cross multiply
    271,568x = 596,632 × 596,632
  4. Step 4: Simplify right side
    271,568x = 355,969,743,424
  5. Step 5: Solve for x
    x = 355,969,743,424/271,568
  6. Step 6: Final answer
    x = 1,310,794.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.