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Finding the Third Proportional to 222,325 and 486,810

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Solution

The third proportional to 222,325 and 486,810 is: 1,065,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,325 : 486,810 = 486,810 : x
  2. Step 2: Convert to fraction form
    222,325/486,810 = 486,810/x
  3. Step 3: Cross multiply
    222,325x = 486,810 × 486,810
  4. Step 4: Simplify right side
    222,325x = 236,983,976,100
  5. Step 5: Solve for x
    x = 236,983,976,100/222,325
  6. Step 6: Final answer
    x = 1,065,934.90

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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.