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Finding the Third Proportional to 812.53 and 1,297.69

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Solution

The third proportional to 812.53 and 1,297.69 is: 2,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.53 : 1,297.69 = 1,297.69 : x
  2. Step 2: Convert to fraction form
    812.53/1,297.69 = 1,297.69/x
  3. Step 3: Cross multiply
    812.53x = 1,297.69 × 1,297.69
  4. Step 4: Simplify right side
    812.53x = 1,683,992.85
  5. Step 5: Solve for x
    x = 1,683,992.85/812.53
  6. Step 6: Final answer
    x = 2,072.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.