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Finding the Third Proportional to 277,128 and 595,692

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Solution

The third proportional to 277,128 and 595,692 is: 1,280,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,128 : 595,692 = 595,692 : x
  2. Step 2: Convert to fraction form
    277,128/595,692 = 595,692/x
  3. Step 3: Cross multiply
    277,128x = 595,692 × 595,692
  4. Step 4: Simplify right side
    277,128x = 354,848,958,864
  5. Step 5: Solve for x
    x = 354,848,958,864/277,128
  6. Step 6: Final answer
    x = 1,280,451.48

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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.