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Finding the Third Proportional to 228,573 and 491,166

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Solution

The third proportional to 228,573 and 491,166 is: 1,055,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,573 : 491,166 = 491,166 : x
  2. Step 2: Convert to fraction form
    228,573/491,166 = 491,166/x
  3. Step 3: Cross multiply
    228,573x = 491,166 × 491,166
  4. Step 4: Simplify right side
    228,573x = 241,244,039,556
  5. Step 5: Solve for x
    x = 241,244,039,556/228,573
  6. Step 6: Final answer
    x = 1,055,435.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.