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Finding the Third Proportional to 185,387 and 406,869

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Solution

The third proportional to 185,387 and 406,869 is: 892,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,387 : 406,869 = 406,869 : x
  2. Step 2: Convert to fraction form
    185,387/406,869 = 406,869/x
  3. Step 3: Cross multiply
    185,387x = 406,869 × 406,869
  4. Step 4: Simplify right side
    185,387x = 165,542,383,161
  5. Step 5: Solve for x
    x = 165,542,383,161/185,387
  6. Step 6: Final answer
    x = 892,955.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.