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Finding the Third Proportional to 812.81 and 1,301.34

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Solution

The third proportional to 812.81 and 1,301.34 is: 2,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.81 : 1,301.34 = 1,301.34 : x
  2. Step 2: Convert to fraction form
    812.81/1,301.34 = 1,301.34/x
  3. Step 3: Cross multiply
    812.81x = 1,301.34 × 1,301.34
  4. Step 4: Simplify right side
    812.81x = 1,693,495.56
  5. Step 5: Solve for x
    x = 1,693,495.56/812.81
  6. Step 6: Final answer
    x = 2,083.50

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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.