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Finding the Third Proportional to 222,024 and 467,257

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Solution

The third proportional to 222,024 and 467,257 is: 983,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,024 : 467,257 = 467,257 : x
  2. Step 2: Convert to fraction form
    222,024/467,257 = 467,257/x
  3. Step 3: Cross multiply
    222,024x = 467,257 × 467,257
  4. Step 4: Simplify right side
    222,024x = 218,329,104,049
  5. Step 5: Solve for x
    x = 218,329,104,049/222,024
  6. Step 6: Final answer
    x = 983,358.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.