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Finding the Third Proportional to 222,522 and 463,452

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Solution

The third proportional to 222,522 and 463,452 is: 965,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,522 : 463,452 = 463,452 : x
  2. Step 2: Convert to fraction form
    222,522/463,452 = 463,452/x
  3. Step 3: Cross multiply
    222,522x = 463,452 × 463,452
  4. Step 4: Simplify right side
    222,522x = 214,787,756,304
  5. Step 5: Solve for x
    x = 214,787,756,304/222,522
  6. Step 6: Final answer
    x = 965,242.79

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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.