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Finding the Third Proportional to 277,524 and 416,325

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Solution

The third proportional to 277,524 and 416,325 is: 624,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,524 : 416,325 = 416,325 : x
  2. Step 2: Convert to fraction form
    277,524/416,325 = 416,325/x
  3. Step 3: Cross multiply
    277,524x = 416,325 × 416,325
  4. Step 4: Simplify right side
    277,524x = 173,326,505,625
  5. Step 5: Solve for x
    x = 173,326,505,625/277,524
  6. Step 6: Final answer
    x = 624,546.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.