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Finding the Third Proportional to 222,517 and 463,442

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Solution

The third proportional to 222,517 and 463,442 is: 965,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,517 : 463,442 = 463,442 : x
  2. Step 2: Convert to fraction form
    222,517/463,442 = 463,442/x
  3. Step 3: Cross multiply
    222,517x = 463,442 × 463,442
  4. Step 4: Simplify right side
    222,517x = 214,778,487,364
  5. Step 5: Solve for x
    x = 214,778,487,364/222,517
  6. Step 6: Final answer
    x = 965,222.83

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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.