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Finding the Third Proportional to 284,296 and 612,874

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Solution

The third proportional to 284,296 and 612,874 is: 1,321,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,296 : 612,874 = 612,874 : x
  2. Step 2: Convert to fraction form
    284,296/612,874 = 612,874/x
  3. Step 3: Cross multiply
    284,296x = 612,874 × 612,874
  4. Step 4: Simplify right side
    284,296x = 375,614,539,876
  5. Step 5: Solve for x
    x = 375,614,539,876/284,296
  6. Step 6: Final answer
    x = 1,321,209.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.