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Finding the Third Proportional to 222,297.75 and 479,584.13

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Solution

The third proportional to 222,297.75 and 479,584.13 is: 1,034,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,297.75 : 479,584.13 = 479,584.13 : x
  2. Step 2: Convert to fraction form
    222,297.75/479,584.13 = 479,584.13/x
  3. Step 3: Cross multiply
    222,297.75x = 479,584.13 × 479,584.13
  4. Step 4: Simplify right side
    222,297.75x = 230,000,932,952.02
  5. Step 5: Solve for x
    x = 230,000,932,952.02/222,297.75
  6. Step 6: Final answer
    x = 1,034,652.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.