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Finding the Third Proportional to 479.53 and 704.11

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Solution

The third proportional to 479.53 and 704.11 is: 1,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.53 : 704.11 = 704.11 : x
  2. Step 2: Convert to fraction form
    479.53/704.11 = 704.11/x
  3. Step 3: Cross multiply
    479.53x = 704.11 × 704.11
  4. Step 4: Simplify right side
    479.53x = 495,770.01
  5. Step 5: Solve for x
    x = 495,770.01/479.53
  6. Step 6: Final answer
    x = 1,033.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.