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Finding the Third Proportional to 326,505.94 and 676,081.69

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Solution

The third proportional to 326,505.94 and 676,081.69 is: 1,399,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,505.94 : 676,081.69 = 676,081.69 : x
  2. Step 2: Convert to fraction form
    326,505.94/676,081.69 = 676,081.69/x
  3. Step 3: Cross multiply
    326,505.94x = 676,081.69 × 676,081.69
  4. Step 4: Simplify right side
    326,505.94x = 457,086,448,172.85
  5. Step 5: Solve for x
    x = 457,086,448,172.85/326,505.94
  6. Step 6: Final answer
    x = 1,399,933.04

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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.