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Finding the Third Proportional to 222,514 and 463,444

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Solution

The third proportional to 222,514 and 463,444 is: 965,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,514 : 463,444 = 463,444 : x
  2. Step 2: Convert to fraction form
    222,514/463,444 = 463,444/x
  3. Step 3: Cross multiply
    222,514x = 463,444 × 463,444
  4. Step 4: Simplify right side
    222,514x = 214,780,341,136
  5. Step 5: Solve for x
    x = 214,780,341,136/222,514
  6. Step 6: Final answer
    x = 965,244.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.