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Finding the Third Proportional to 311,941.13 and 445,753.13

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Solution

The third proportional to 311,941.13 and 445,753.13 is: 636,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,941.13 : 445,753.13 = 445,753.13 : x
  2. Step 2: Convert to fraction form
    311,941.13/445,753.13 = 445,753.13/x
  3. Step 3: Cross multiply
    311,941.13x = 445,753.13 × 445,753.13
  4. Step 4: Simplify right side
    311,941.13x = 198,695,848,447.27
  5. Step 5: Solve for x
    x = 198,695,848,447.27/311,941.13
  6. Step 6: Final answer
    x = 636,965.86

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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.