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Finding the Third Proportional to 326,171.50 and 674,717.03

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Solution

The third proportional to 326,171.50 and 674,717.03 is: 1,395,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,171.50 : 674,717.03 = 674,717.03 : x
  2. Step 2: Convert to fraction form
    326,171.50/674,717.03 = 674,717.03/x
  3. Step 3: Cross multiply
    326,171.50x = 674,717.03 × 674,717.03
  4. Step 4: Simplify right side
    326,171.50x = 455,243,066,987.59
  5. Step 5: Solve for x
    x = 455,243,066,987.59/326,171.50
  6. Step 6: Final answer
    x = 1,395,716.89

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