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Finding the Third Proportional to 683,715.94 and 995,591.25

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Solution

The third proportional to 683,715.94 and 995,591.25 is: 1,449,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,715.94 : 995,591.25 = 995,591.25 : x
  2. Step 2: Convert to fraction form
    683,715.94/995,591.25 = 995,591.25/x
  3. Step 3: Cross multiply
    683,715.94x = 995,591.25 × 995,591.25
  4. Step 4: Simplify right side
    683,715.94x = 991,201,937,076.56
  5. Step 5: Solve for x
    x = 991,201,937,076.56/683,715.94
  6. Step 6: Final answer
    x = 1,449,727.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.