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Finding the Third Proportional to 285,422 and 627,344

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Solution

The third proportional to 285,422 and 627,344 is: 1,378,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,422 : 627,344 = 627,344 : x
  2. Step 2: Convert to fraction form
    285,422/627,344 = 627,344/x
  3. Step 3: Cross multiply
    285,422x = 627,344 × 627,344
  4. Step 4: Simplify right side
    285,422x = 393,560,494,336
  5. Step 5: Solve for x
    x = 393,560,494,336/285,422
  6. Step 6: Final answer
    x = 1,378,872.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.