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Finding the Third Proportional to 342,153,845 and 494,353,327

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Solution

The third proportional to 342,153,845 and 494,353,327 is: 714,255,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,153,845 : 494,353,327 = 494,353,327 : x
  2. Step 2: Convert to fraction form
    342,153,845/494,353,327 = 494,353,327/x
  3. Step 3: Cross multiply
    342,153,845x = 494,353,327 × 494,353,327
  4. Step 4: Simplify right side
    342,153,845x = 244,385,211,915,968,928
  5. Step 5: Solve for x
    x = 244,385,211,915,968,928/342,153,845
  6. Step 6: Final answer
    x = 714,255,342.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.