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Finding the Third Proportional to 222,330 and 479,652

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Solution

The third proportional to 222,330 and 479,652 is: 1,034,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,330 : 479,652 = 479,652 : x
  2. Step 2: Convert to fraction form
    222,330/479,652 = 479,652/x
  3. Step 3: Cross multiply
    222,330x = 479,652 × 479,652
  4. Step 4: Simplify right side
    222,330x = 230,066,041,104
  5. Step 5: Solve for x
    x = 230,066,041,104/222,330
  6. Step 6: Final answer
    x = 1,034,795.31

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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.