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Finding the Third Proportional to 306,084.75 and 649,221.75

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Solution

The third proportional to 306,084.75 and 649,221.75 is: 1,377,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,084.75 : 649,221.75 = 649,221.75 : x
  2. Step 2: Convert to fraction form
    306,084.75/649,221.75 = 649,221.75/x
  3. Step 3: Cross multiply
    306,084.75x = 649,221.75 × 649,221.75
  4. Step 4: Simplify right side
    306,084.75x = 421,488,880,673.06
  5. Step 5: Solve for x
    x = 421,488,880,673.06/306,084.75
  6. Step 6: Final answer
    x = 1,377,033.26

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.