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Finding the Third Proportional to 277,002 and 595,380

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Solution

The third proportional to 277,002 and 595,380 is: 1,279,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,002 : 595,380 = 595,380 : x
  2. Step 2: Convert to fraction form
    277,002/595,380 = 595,380/x
  3. Step 3: Cross multiply
    277,002x = 595,380 × 595,380
  4. Step 4: Simplify right side
    277,002x = 354,477,344,400
  5. Step 5: Solve for x
    x = 354,477,344,400/277,002
  6. Step 6: Final answer
    x = 1,279,692.36

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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.