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Finding the Third Proportional to 812.53 and 1,296.42

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Solution

The third proportional to 812.53 and 1,296.42 is: 2,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.53 : 1,296.42 = 1,296.42 : x
  2. Step 2: Convert to fraction form
    812.53/1,296.42 = 1,296.42/x
  3. Step 3: Cross multiply
    812.53x = 1,296.42 × 1,296.42
  4. Step 4: Simplify right side
    812.53x = 1,680,709.68
  5. Step 5: Solve for x
    x = 1,680,709.68/812.53
  6. Step 6: Final answer
    x = 2,068.49

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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.