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Finding the Third Proportional to 222,822 and 487,750

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Solution

The third proportional to 222,822 and 487,750 is: 1,067,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,822 : 487,750 = 487,750 : x
  2. Step 2: Convert to fraction form
    222,822/487,750 = 487,750/x
  3. Step 3: Cross multiply
    222,822x = 487,750 × 487,750
  4. Step 4: Simplify right side
    222,822x = 237,900,062,500
  5. Step 5: Solve for x
    x = 237,900,062,500/222,822
  6. Step 6: Final answer
    x = 1,067,668.64

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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.