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Finding the Third Proportional to 835.79 and 1,299.24

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Solution

The third proportional to 835.79 and 1,299.24 is: 2,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.79 : 1,299.24 = 1,299.24 : x
  2. Step 2: Convert to fraction form
    835.79/1,299.24 = 1,299.24/x
  3. Step 3: Cross multiply
    835.79x = 1,299.24 × 1,299.24
  4. Step 4: Simplify right side
    835.79x = 1,688,032.80
  5. Step 5: Solve for x
    x = 1,688,032.80/835.79
  6. Step 6: Final answer
    x = 2,019.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.