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Finding the Third Proportional to 283,747,125 and 399,404,356

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Solution

The third proportional to 283,747,125 and 399,404,356 is: 562,204,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,747,125 : 399,404,356 = 399,404,356 : x
  2. Step 2: Convert to fraction form
    283,747,125/399,404,356 = 399,404,356/x
  3. Step 3: Cross multiply
    283,747,125x = 399,404,356 × 399,404,356
  4. Step 4: Simplify right side
    283,747,125x = 159,523,839,591,774,720
  5. Step 5: Solve for x
    x = 159,523,839,591,774,720/283,747,125
  6. Step 6: Final answer
    x = 562,204,249.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.