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Finding the Third Proportional to 188,504 and 406,537

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Solution

The third proportional to 188,504 and 406,537 is: 876,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,504 : 406,537 = 406,537 : x
  2. Step 2: Convert to fraction form
    188,504/406,537 = 406,537/x
  3. Step 3: Cross multiply
    188,504x = 406,537 × 406,537
  4. Step 4: Simplify right side
    188,504x = 165,272,332,369
  5. Step 5: Solve for x
    x = 165,272,332,369/188,504
  6. Step 6: Final answer
    x = 876,757.69

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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.