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Finding the Third Proportional to 277,449 and 416,211

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Solution

The third proportional to 277,449 and 416,211 is: 624,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,449 : 416,211 = 416,211 : x
  2. Step 2: Convert to fraction form
    277,449/416,211 = 416,211/x
  3. Step 3: Cross multiply
    277,449x = 416,211 × 416,211
  4. Step 4: Simplify right side
    277,449x = 173,231,596,521
  5. Step 5: Solve for x
    x = 173,231,596,521/277,449
  6. Step 6: Final answer
    x = 624,372.76

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