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Finding the Third Proportional to 270,990 and 595,604

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Solution

The third proportional to 270,990 and 595,604 is: 1,309,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,990 : 595,604 = 595,604 : x
  2. Step 2: Convert to fraction form
    270,990/595,604 = 595,604/x
  3. Step 3: Cross multiply
    270,990x = 595,604 × 595,604
  4. Step 4: Simplify right side
    270,990x = 354,744,124,816
  5. Step 5: Solve for x
    x = 354,744,124,816/270,990
  6. Step 6: Final answer
    x = 1,309,067.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.