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Finding the Third Proportional to 188,529 and 406,578

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Solution

The third proportional to 188,529 and 406,578 is: 876,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,529 : 406,578 = 406,578 : x
  2. Step 2: Convert to fraction form
    188,529/406,578 = 406,578/x
  3. Step 3: Cross multiply
    188,529x = 406,578 × 406,578
  4. Step 4: Simplify right side
    188,529x = 165,305,670,084
  5. Step 5: Solve for x
    x = 165,305,670,084/188,529
  6. Step 6: Final answer
    x = 876,818.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.