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Finding the Third Proportional to 823.92 and 1,266.68

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Solution

The third proportional to 823.92 and 1,266.68 is: 1,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.92 : 1,266.68 = 1,266.68 : x
  2. Step 2: Convert to fraction form
    823.92/1,266.68 = 1,266.68/x
  3. Step 3: Cross multiply
    823.92x = 1,266.68 × 1,266.68
  4. Step 4: Simplify right side
    823.92x = 1,604,477.43
  5. Step 5: Solve for x
    x = 1,604,477.43/823.92
  6. Step 6: Final answer
    x = 1,947.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.