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Finding the Third Proportional to 303,945.75 and 660,318.75

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Solution

The third proportional to 303,945.75 and 660,318.75 is: 1,434,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,945.75 : 660,318.75 = 660,318.75 : x
  2. Step 2: Convert to fraction form
    303,945.75/660,318.75 = 660,318.75/x
  3. Step 3: Cross multiply
    303,945.75x = 660,318.75 × 660,318.75
  4. Step 4: Simplify right side
    303,945.75x = 436,020,851,601.56
  5. Step 5: Solve for x
    x = 436,020,851,601.56/303,945.75
  6. Step 6: Final answer
    x = 1,434,535.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.