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Finding the Third Proportional to 185,412 and 404,662

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Solution

The third proportional to 185,412 and 404,662 is: 883,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,412 : 404,662 = 404,662 : x
  2. Step 2: Convert to fraction form
    185,412/404,662 = 404,662/x
  3. Step 3: Cross multiply
    185,412x = 404,662 × 404,662
  4. Step 4: Simplify right side
    185,412x = 163,751,334,244
  5. Step 5: Solve for x
    x = 163,751,334,244/185,412
  6. Step 6: Final answer
    x = 883,175.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.