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Finding the Third Proportional to 452.44 and 693.09

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Solution

The third proportional to 452.44 and 693.09 is: 1,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.44 : 693.09 = 693.09 : x
  2. Step 2: Convert to fraction form
    452.44/693.09 = 693.09/x
  3. Step 3: Cross multiply
    452.44x = 693.09 × 693.09
  4. Step 4: Simplify right side
    452.44x = 480,378.95
  5. Step 5: Solve for x
    x = 480,378.95/452.44
  6. Step 6: Final answer
    x = 1,061.76

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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.