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Finding the Third Proportional to 279,969 and 606,593

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Solution

The third proportional to 279,969 and 606,593 is: 1,314,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,969 : 606,593 = 606,593 : x
  2. Step 2: Convert to fraction form
    279,969/606,593 = 606,593/x
  3. Step 3: Cross multiply
    279,969x = 606,593 × 606,593
  4. Step 4: Simplify right side
    279,969x = 367,955,067,649
  5. Step 5: Solve for x
    x = 367,955,067,649/279,969
  6. Step 6: Final answer
    x = 1,314,270.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.