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Finding the Third Proportional to 291,314,529 and 624,181,059

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Solution

The third proportional to 291,314,529 and 624,181,059 is: 1,337,392,940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314,529 : 624,181,059 = 624,181,059 : x
  2. Step 2: Convert to fraction form
    291,314,529/624,181,059 = 624,181,059/x
  3. Step 3: Cross multiply
    291,314,529x = 624,181,059 × 624,181,059
  4. Step 4: Simplify right side
    291,314,529x = 389,601,994,414,361,472
  5. Step 5: Solve for x
    x = 389,601,994,414,361,472/291,314,529
  6. Step 6: Final answer
    x = 1,337,392,940.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.