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Finding the Third Proportional to 221,689 and 486,268

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Solution

The third proportional to 221,689 and 486,268 is: 1,066,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,689 : 486,268 = 486,268 : x
  2. Step 2: Convert to fraction form
    221,689/486,268 = 486,268/x
  3. Step 3: Cross multiply
    221,689x = 486,268 × 486,268
  4. Step 4: Simplify right side
    221,689x = 236,456,567,824
  5. Step 5: Solve for x
    x = 236,456,567,824/221,689
  6. Step 6: Final answer
    x = 1,066,613.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.