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Finding the Third Proportional to 188,434 and 406,411

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Solution

The third proportional to 188,434 and 406,411 is: 876,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,434 : 406,411 = 406,411 : x
  2. Step 2: Convert to fraction form
    188,434/406,411 = 406,411/x
  3. Step 3: Cross multiply
    188,434x = 406,411 × 406,411
  4. Step 4: Simplify right side
    188,434x = 165,169,900,921
  5. Step 5: Solve for x
    x = 165,169,900,921/188,434
  6. Step 6: Final answer
    x = 876,539.80

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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.