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Finding the Third Proportional to 188,469 and 406,459

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Solution

The third proportional to 188,469 and 406,459 is: 876,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,469 : 406,459 = 406,459 : x
  2. Step 2: Convert to fraction form
    188,469/406,459 = 406,459/x
  3. Step 3: Cross multiply
    188,469x = 406,459 × 406,459
  4. Step 4: Simplify right side
    188,469x = 165,208,918,681
  5. Step 5: Solve for x
    x = 165,208,918,681/188,469
  6. Step 6: Final answer
    x = 876,584.05

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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.