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Finding the Third Proportional to 920.11 and 1,293.19

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Solution

The third proportional to 920.11 and 1,293.19 is: 1,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.11 : 1,293.19 = 1,293.19 : x
  2. Step 2: Convert to fraction form
    920.11/1,293.19 = 1,293.19/x
  3. Step 3: Cross multiply
    920.11x = 1,293.19 × 1,293.19
  4. Step 4: Simplify right side
    920.11x = 1,672,333.91
  5. Step 5: Solve for x
    x = 1,672,333.91/920.11
  6. Step 6: Final answer
    x = 1,817.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.