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Finding the Third Proportional to 303,105.50 and 441,331

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Solution

The third proportional to 303,105.50 and 441,331 is: 642,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,105.50 : 441,331 = 441,331 : x
  2. Step 2: Convert to fraction form
    303,105.50/441,331 = 441,331/x
  3. Step 3: Cross multiply
    303,105.50x = 441,331 × 441,331
  4. Step 4: Simplify right side
    303,105.50x = 194,773,051,561
  5. Step 5: Solve for x
    x = 194,773,051,561/303,105.50
  6. Step 6: Final answer
    x = 642,591.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.