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Finding the Third Proportional to 222,732 and 479,929

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Solution

The third proportional to 222,732 and 479,929 is: 1,034,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,732 : 479,929 = 479,929 : x
  2. Step 2: Convert to fraction form
    222,732/479,929 = 479,929/x
  3. Step 3: Cross multiply
    222,732x = 479,929 × 479,929
  4. Step 4: Simplify right side
    222,732x = 230,331,845,041
  5. Step 5: Solve for x
    x = 230,331,845,041/222,732
  6. Step 6: Final answer
    x = 1,034,121.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.