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Finding the Third Proportional to 222,024 and 479,565

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Solution

The third proportional to 222,024 and 479,565 is: 1,035,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,024 : 479,565 = 479,565 : x
  2. Step 2: Convert to fraction form
    222,024/479,565 = 479,565/x
  3. Step 3: Cross multiply
    222,024x = 479,565 × 479,565
  4. Step 4: Simplify right side
    222,024x = 229,982,589,225
  5. Step 5: Solve for x
    x = 229,982,589,225/222,024
  6. Step 6: Final answer
    x = 1,035,845.63

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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.