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Finding the Third Proportional to 332,328,278 and 727,198,924

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Solution

The third proportional to 332,328,278 and 727,198,924 is: 1,591,252,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,328,278 : 727,198,924 = 727,198,924 : x
  2. Step 2: Convert to fraction form
    332,328,278/727,198,924 = 727,198,924/x
  3. Step 3: Cross multiply
    332,328,278x = 727,198,924 × 727,198,924
  4. Step 4: Simplify right side
    332,328,278x = 528,818,275,066,757,760
  5. Step 5: Solve for x
    x = 528,818,275,066,757,760/332,328,278
  6. Step 6: Final answer
    x = 1,591,252,716.29

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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.