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Finding the Third Proportional to 277,284 and 396,530

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Solution

The third proportional to 277,284 and 396,530 is: 567,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,284 : 396,530 = 396,530 : x
  2. Step 2: Convert to fraction form
    277,284/396,530 = 396,530/x
  3. Step 3: Cross multiply
    277,284x = 396,530 × 396,530
  4. Step 4: Simplify right side
    277,284x = 157,236,040,900
  5. Step 5: Solve for x
    x = 157,236,040,900/277,284
  6. Step 6: Final answer
    x = 567,057.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.