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Finding the Third Proportional to 222,347.25 and 486,213.75

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Solution

The third proportional to 222,347.25 and 486,213.75 is: 1,063,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,347.25 : 486,213.75 = 486,213.75 : x
  2. Step 2: Convert to fraction form
    222,347.25/486,213.75 = 486,213.75/x
  3. Step 3: Cross multiply
    222,347.25x = 486,213.75 × 486,213.75
  4. Step 4: Simplify right side
    222,347.25x = 236,403,810,689.06
  5. Step 5: Solve for x
    x = 236,403,810,689.06/222,347.25
  6. Step 6: Final answer
    x = 1,063,218.95

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