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Finding the Third Proportional to 279,477 and 603,234

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Solution

The third proportional to 279,477 and 603,234 is: 1,302,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,477 : 603,234 = 603,234 : x
  2. Step 2: Convert to fraction form
    279,477/603,234 = 603,234/x
  3. Step 3: Cross multiply
    279,477x = 603,234 × 603,234
  4. Step 4: Simplify right side
    279,477x = 363,891,258,756
  5. Step 5: Solve for x
    x = 363,891,258,756/279,477
  6. Step 6: Final answer
    x = 1,302,043.67

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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.