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Finding the Third Proportional to 270,578 and 603,268

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Solution

The third proportional to 270,578 and 603,268 is: 1,345,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,578 : 603,268 = 603,268 : x
  2. Step 2: Convert to fraction form
    270,578/603,268 = 603,268/x
  3. Step 3: Cross multiply
    270,578x = 603,268 × 603,268
  4. Step 4: Simplify right side
    270,578x = 363,932,279,824
  5. Step 5: Solve for x
    x = 363,932,279,824/270,578
  6. Step 6: Final answer
    x = 1,345,018.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.