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Finding the Third Proportional to 303,941,198 and 716,777,802

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Solution

The third proportional to 303,941,198 and 716,777,802 is: 1,690,361,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,941,198 : 716,777,802 = 716,777,802 : x
  2. Step 2: Convert to fraction form
    303,941,198/716,777,802 = 716,777,802/x
  3. Step 3: Cross multiply
    303,941,198x = 716,777,802 × 716,777,802
  4. Step 4: Simplify right side
    303,941,198x = 513,770,417,439,951,232
  5. Step 5: Solve for x
    x = 513,770,417,439,951,232/303,941,198
  6. Step 6: Final answer
    x = 1,690,361,230.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.