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Finding the Third Proportional to 223,965 and 491,616

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Solution

The third proportional to 223,965 and 491,616 is: 1,079,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,965 : 491,616 = 491,616 : x
  2. Step 2: Convert to fraction form
    223,965/491,616 = 491,616/x
  3. Step 3: Cross multiply
    223,965x = 491,616 × 491,616
  4. Step 4: Simplify right side
    223,965x = 241,686,291,456
  5. Step 5: Solve for x
    x = 241,686,291,456/223,965
  6. Step 6: Final answer
    x = 1,079,125.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.