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Finding the Third Proportional to 284,291 and 612,867

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Solution

The third proportional to 284,291 and 612,867 is: 1,321,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,291 : 612,867 = 612,867 : x
  2. Step 2: Convert to fraction form
    284,291/612,867 = 612,867/x
  3. Step 3: Cross multiply
    284,291x = 612,867 × 612,867
  4. Step 4: Simplify right side
    284,291x = 375,605,959,689
  5. Step 5: Solve for x
    x = 375,605,959,689/284,291
  6. Step 6: Final answer
    x = 1,321,202.43

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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.