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Finding the Third Proportional to 303,251,256 and 654,921,720

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Solution

The third proportional to 303,251,256 and 654,921,720 is: 1,414,412,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,251,256 : 654,921,720 = 654,921,720 : x
  2. Step 2: Convert to fraction form
    303,251,256/654,921,720 = 654,921,720/x
  3. Step 3: Cross multiply
    303,251,256x = 654,921,720 × 654,921,720
  4. Step 4: Simplify right side
    303,251,256x = 428,922,459,327,758,400
  5. Step 5: Solve for x
    x = 428,922,459,327,758,400/303,251,256
  6. Step 6: Final answer
    x = 1,414,412,804.04

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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.