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Finding the Third Proportional to 277,899,378 and 408,765,915

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Solution

The third proportional to 277,899,378 and 408,765,915 is: 601,259,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,899,378 : 408,765,915 = 408,765,915 : x
  2. Step 2: Convert to fraction form
    277,899,378/408,765,915 = 408,765,915/x
  3. Step 3: Cross multiply
    277,899,378x = 408,765,915 × 408,765,915
  4. Step 4: Simplify right side
    277,899,378x = 167,089,573,265,787,232
  5. Step 5: Solve for x
    x = 167,089,573,265,787,232/277,899,378
  6. Step 6: Final answer
    x = 601,259,256.02

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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.