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Finding the Third Proportional to 277,899,376 and 408,765,912

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Solution

The third proportional to 277,899,376 and 408,765,912 is: 601,259,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,899,376 : 408,765,912 = 408,765,912 : x
  2. Step 2: Convert to fraction form
    277,899,376/408,765,912 = 408,765,912/x
  3. Step 3: Cross multiply
    277,899,376x = 408,765,912 × 408,765,912
  4. Step 4: Simplify right side
    277,899,376x = 167,089,570,813,191,744
  5. Step 5: Solve for x
    x = 167,089,570,813,191,744/277,899,376
  6. Step 6: Final answer
    x = 601,259,251.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.