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Finding the Third Proportional to 303,251,144 and 654,921,504

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Solution

The third proportional to 303,251,144 and 654,921,504 is: 1,414,412,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,251,144 : 654,921,504 = 654,921,504 : x
  2. Step 2: Convert to fraction form
    303,251,144/654,921,504 = 654,921,504/x
  3. Step 3: Cross multiply
    303,251,144x = 654,921,504 × 654,921,504
  4. Step 4: Simplify right side
    303,251,144x = 428,922,176,401,622,016
  5. Step 5: Solve for x
    x = 428,922,176,401,622,016/303,251,144
  6. Step 6: Final answer
    x = 1,414,412,393.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.