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Finding the Third Proportional to 277,451 and 416,214

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Solution

The third proportional to 277,451 and 416,214 is: 624,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,451 : 416,214 = 416,214 : x
  2. Step 2: Convert to fraction form
    277,451/416,214 = 416,214/x
  3. Step 3: Cross multiply
    277,451x = 416,214 × 416,214
  4. Step 4: Simplify right side
    277,451x = 173,234,093,796
  5. Step 5: Solve for x
    x = 173,234,093,796/277,451
  6. Step 6: Final answer
    x = 624,377.26

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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.