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Finding the Third Proportional to 235,756 and 509,162

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Solution

The third proportional to 235,756 and 509,162 is: 1,099,636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,756 : 509,162 = 509,162 : x
  2. Step 2: Convert to fraction form
    235,756/509,162 = 509,162/x
  3. Step 3: Cross multiply
    235,756x = 509,162 × 509,162
  4. Step 4: Simplify right side
    235,756x = 259,245,942,244
  5. Step 5: Solve for x
    x = 259,245,942,244/235,756
  6. Step 6: Final answer
    x = 1,099,636.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.