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Finding the Third Proportional to 450.84 and 704.11

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Solution

The third proportional to 450.84 and 704.11 is: 1,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.84 : 704.11 = 704.11 : x
  2. Step 2: Convert to fraction form
    450.84/704.11 = 704.11/x
  3. Step 3: Cross multiply
    450.84x = 704.11 × 704.11
  4. Step 4: Simplify right side
    450.84x = 495,770.01
  5. Step 5: Solve for x
    x = 495,770.01/450.84
  6. Step 6: Final answer
    x = 1,099.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.