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Finding the Third Proportional to 301,867 and 628,536

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Solution

The third proportional to 301,867 and 628,536 is: 1,308,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,867 : 628,536 = 628,536 : x
  2. Step 2: Convert to fraction form
    301,867/628,536 = 628,536/x
  3. Step 3: Cross multiply
    301,867x = 628,536 × 628,536
  4. Step 4: Simplify right side
    301,867x = 395,057,503,296
  5. Step 5: Solve for x
    x = 395,057,503,296/301,867
  6. Step 6: Final answer
    x = 1,308,713.78

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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.