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Finding the Third Proportional to 221,736 and 502,662

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Solution

The third proportional to 221,736 and 502,662 is: 1,139,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,736 : 502,662 = 502,662 : x
  2. Step 2: Convert to fraction form
    221,736/502,662 = 502,662/x
  3. Step 3: Cross multiply
    221,736x = 502,662 × 502,662
  4. Step 4: Simplify right side
    221,736x = 252,669,086,244
  5. Step 5: Solve for x
    x = 252,669,086,244/221,736
  6. Step 6: Final answer
    x = 1,139,504.12

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.