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Finding the Third Proportional to 441 and 491

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Solution

The third proportional to 441 and 491 is: 546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441 : 491 = 491 : x
  2. Step 2: Convert to fraction form
    441/491 = 491/x
  3. Step 3: Cross multiply
    441x = 491 × 491
  4. Step 4: Simplify right side
    441x = 241,081
  5. Step 5: Solve for x
    x = 241,081/441
  6. Step 6: Final answer
    x = 546.67

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.