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Finding the Third Proportional to 228,462 and 491,932

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Solution

The third proportional to 228,462 and 491,932 is: 1,059,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,462 : 491,932 = 491,932 : x
  2. Step 2: Convert to fraction form
    228,462/491,932 = 491,932/x
  3. Step 3: Cross multiply
    228,462x = 491,932 × 491,932
  4. Step 4: Simplify right side
    228,462x = 241,997,092,624
  5. Step 5: Solve for x
    x = 241,997,092,624/228,462
  6. Step 6: Final answer
    x = 1,059,244.39

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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.