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Finding the Third Proportional to 303,796.50 and 664,806

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Solution

The third proportional to 303,796.50 and 664,806 is: 1,454,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,796.50 : 664,806 = 664,806 : x
  2. Step 2: Convert to fraction form
    303,796.50/664,806 = 664,806/x
  3. Step 3: Cross multiply
    303,796.50x = 664,806 × 664,806
  4. Step 4: Simplify right side
    303,796.50x = 441,967,017,636
  5. Step 5: Solve for x
    x = 441,967,017,636/303,796.50
  6. Step 6: Final answer
    x = 1,454,812.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.