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Finding the Third Proportional to 289,756 and 443,247

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Solution

The third proportional to 289,756 and 443,247 is: 678,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,756 : 443,247 = 443,247 : x
  2. Step 2: Convert to fraction form
    289,756/443,247 = 443,247/x
  3. Step 3: Cross multiply
    289,756x = 443,247 × 443,247
  4. Step 4: Simplify right side
    289,756x = 196,467,903,009
  5. Step 5: Solve for x
    x = 196,467,903,009/289,756
  6. Step 6: Final answer
    x = 678,046.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.