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Finding the Third Proportional to 326,171.18 and 674,716.39

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Solution

The third proportional to 326,171.18 and 674,716.39 is: 1,395,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,171.18 : 674,716.39 = 674,716.39 : x
  2. Step 2: Convert to fraction form
    326,171.18/674,716.39 = 674,716.39/x
  3. Step 3: Cross multiply
    326,171.18x = 674,716.39 × 674,716.39
  4. Step 4: Simplify right side
    326,171.18x = 455,242,213,049.25
  5. Step 5: Solve for x
    x = 455,242,213,049.25/326,171.18
  6. Step 6: Final answer
    x = 1,395,715.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.