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Finding the Third Proportional to 188,344 and 406,563

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Solution

The third proportional to 188,344 and 406,563 is: 877,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,344 : 406,563 = 406,563 : x
  2. Step 2: Convert to fraction form
    188,344/406,563 = 406,563/x
  3. Step 3: Cross multiply
    188,344x = 406,563 × 406,563
  4. Step 4: Simplify right side
    188,344x = 165,293,472,969
  5. Step 5: Solve for x
    x = 165,293,472,969/188,344
  6. Step 6: Final answer
    x = 877,614.75

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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.