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Finding the Third Proportional to 212,048 and 449,344

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Solution

The third proportional to 212,048 and 449,344 is: 952,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,048 : 449,344 = 449,344 : x
  2. Step 2: Convert to fraction form
    212,048/449,344 = 449,344/x
  3. Step 3: Cross multiply
    212,048x = 449,344 × 449,344
  4. Step 4: Simplify right side
    212,048x = 201,910,030,336
  5. Step 5: Solve for x
    x = 201,910,030,336/212,048
  6. Step 6: Final answer
    x = 952,190.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.