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Finding the Third Proportional to 222,024 and 479,520

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Solution

The third proportional to 222,024 and 479,520 is: 1,035,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,024 : 479,520 = 479,520 : x
  2. Step 2: Convert to fraction form
    222,024/479,520 = 479,520/x
  3. Step 3: Cross multiply
    222,024x = 479,520 × 479,520
  4. Step 4: Simplify right side
    222,024x = 229,939,430,400
  5. Step 5: Solve for x
    x = 229,939,430,400/222,024
  6. Step 6: Final answer
    x = 1,035,651.24

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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.