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Finding the Third Proportional to 311,983.50 and 445,821

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Solution

The third proportional to 311,983.50 and 445,821 is: 637,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,983.50 : 445,821 = 445,821 : x
  2. Step 2: Convert to fraction form
    311,983.50/445,821 = 445,821/x
  3. Step 3: Cross multiply
    311,983.50x = 445,821 × 445,821
  4. Step 4: Simplify right side
    311,983.50x = 198,756,364,041
  5. Step 5: Solve for x
    x = 198,756,364,041/311,983.50
  6. Step 6: Final answer
    x = 637,073.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.