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Finding the Third Proportional to 327,235,644 and 494,246,912

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Solution

The third proportional to 327,235,644 and 494,246,912 is: 746,495,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,235,644 : 494,246,912 = 494,246,912 : x
  2. Step 2: Convert to fraction form
    327,235,644/494,246,912 = 494,246,912/x
  3. Step 3: Cross multiply
    327,235,644x = 494,246,912 × 494,246,912
  4. Step 4: Simplify right side
    327,235,644x = 244,280,010,021,535,744
  5. Step 5: Solve for x
    x = 244,280,010,021,535,744/327,235,644
  6. Step 6: Final answer
    x = 746,495,727.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.