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Finding the Third Proportional to 228,456 and 491,920

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Solution

The third proportional to 228,456 and 491,920 is: 1,059,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,456 : 491,920 = 491,920 : x
  2. Step 2: Convert to fraction form
    228,456/491,920 = 491,920/x
  3. Step 3: Cross multiply
    228,456x = 491,920 × 491,920
  4. Step 4: Simplify right side
    228,456x = 241,985,286,400
  5. Step 5: Solve for x
    x = 241,985,286,400/228,456
  6. Step 6: Final answer
    x = 1,059,220.53

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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.