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Finding the Third Proportional to 303,795.75 and 664,776.75

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Solution

The third proportional to 303,795.75 and 664,776.75 is: 1,454,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,795.75 : 664,776.75 = 664,776.75 : x
  2. Step 2: Convert to fraction form
    303,795.75/664,776.75 = 664,776.75/x
  3. Step 3: Cross multiply
    303,795.75x = 664,776.75 × 664,776.75
  4. Step 4: Simplify right side
    303,795.75x = 441,928,127,340.56
  5. Step 5: Solve for x
    x = 441,928,127,340.56/303,795.75
  6. Step 6: Final answer
    x = 1,454,688.31

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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.