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Finding the Third Proportional to 1,299.96 and 1,734.22

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Solution

The third proportional to 1,299.96 and 1,734.22 is: 2,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.96 : 1,734.22 = 1,734.22 : x
  2. Step 2: Convert to fraction form
    1,299.96/1,734.22 = 1,734.22/x
  3. Step 3: Cross multiply
    1,299.96x = 1,734.22 × 1,734.22
  4. Step 4: Simplify right side
    1,299.96x = 3,007,528.22
  5. Step 5: Solve for x
    x = 3,007,528.22/1,299.96
  6. Step 6: Final answer
    x = 2,313.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.