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Finding the Third Proportional to 306,316.69 and 445,920.19

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Solution

The third proportional to 306,316.69 and 445,920.19 is: 649,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,316.69 : 445,920.19 = 445,920.19 : x
  2. Step 2: Convert to fraction form
    306,316.69/445,920.19 = 445,920.19/x
  3. Step 3: Cross multiply
    306,316.69x = 445,920.19 × 445,920.19
  4. Step 4: Simplify right side
    306,316.69x = 198,844,813,620.04
  5. Step 5: Solve for x
    x = 198,844,813,620.04/306,316.69
  6. Step 6: Final answer
    x = 649,147.83

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