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Finding the Third Proportional to 419,414,816 and 629,122,288

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Solution

The third proportional to 419,414,816 and 629,122,288 is: 943,683,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,414,816 : 629,122,288 = 629,122,288 : x
  2. Step 2: Convert to fraction form
    419,414,816/629,122,288 = 629,122,288/x
  3. Step 3: Cross multiply
    419,414,816x = 629,122,288 × 629,122,288
  4. Step 4: Simplify right side
    419,414,816x = 395,794,853,258,354,944
  5. Step 5: Solve for x
    x = 395,794,853,258,354,944/419,414,816
  6. Step 6: Final answer
    x = 943,683,528.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.