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Finding the Third Proportional to 311,716 and 445,742

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Solution

The third proportional to 311,716 and 445,742 is: 637,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,716 : 445,742 = 445,742 : x
  2. Step 2: Convert to fraction form
    311,716/445,742 = 445,742/x
  3. Step 3: Cross multiply
    311,716x = 445,742 × 445,742
  4. Step 4: Simplify right side
    311,716x = 198,685,930,564
  5. Step 5: Solve for x
    x = 198,685,930,564/311,716
  6. Step 6: Final answer
    x = 637,394.07

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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.