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Finding the Third Proportional to 303,207.05 and 454,816.27

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Solution

The third proportional to 303,207.05 and 454,816.27 is: 682,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,207.05 : 454,816.27 = 454,816.27 : x
  2. Step 2: Convert to fraction form
    303,207.05/454,816.27 = 454,816.27/x
  3. Step 3: Cross multiply
    303,207.05x = 454,816.27 × 454,816.27
  4. Step 4: Simplify right side
    303,207.05x = 206,857,835,477.07
  5. Step 5: Solve for x
    x = 206,857,835,477.07/303,207.05
  6. Step 6: Final answer
    x = 682,232.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.