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Finding the Third Proportional to 277,002 and 595,383.75

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Solution

The third proportional to 277,002 and 595,383.75 is: 1,279,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,002 : 595,383.75 = 595,383.75 : x
  2. Step 2: Convert to fraction form
    277,002/595,383.75 = 595,383.75/x
  3. Step 3: Cross multiply
    277,002x = 595,383.75 × 595,383.75
  4. Step 4: Simplify right side
    277,002x = 354,481,809,764.06
  5. Step 5: Solve for x
    x = 354,481,809,764.06/277,002
  6. Step 6: Final answer
    x = 1,279,708.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.