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Finding the Third Proportional to 332,328,311 and 727,198,992

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Solution

The third proportional to 332,328,311 and 727,198,992 is: 1,591,252,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,328,311 : 727,198,992 = 727,198,992 : x
  2. Step 2: Convert to fraction form
    332,328,311/727,198,992 = 727,198,992/x
  3. Step 3: Cross multiply
    332,328,311x = 727,198,992 × 727,198,992
  4. Step 4: Simplify right side
    332,328,311x = 528,818,373,965,816,064
  5. Step 5: Solve for x
    x = 528,818,373,965,816,064/332,328,311
  6. Step 6: Final answer
    x = 1,591,252,855.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.