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Finding the Third Proportional to 185,847 and 407,280

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Solution

The third proportional to 185,847 and 407,280 is: 892,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,847 : 407,280 = 407,280 : x
  2. Step 2: Convert to fraction form
    185,847/407,280 = 407,280/x
  3. Step 3: Cross multiply
    185,847x = 407,280 × 407,280
  4. Step 4: Simplify right side
    185,847x = 165,876,998,400
  5. Step 5: Solve for x
    x = 165,876,998,400/185,847
  6. Step 6: Final answer
    x = 892,546.01

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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.