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Finding the Third Proportional to 850.92 and 1,403.79

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Solution

The third proportional to 850.92 and 1,403.79 is: 2,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.92 : 1,403.79 = 1,403.79 : x
  2. Step 2: Convert to fraction form
    850.92/1,403.79 = 1,403.79/x
  3. Step 3: Cross multiply
    850.92x = 1,403.79 × 1,403.79
  4. Step 4: Simplify right side
    850.92x = 1,970,623.73
  5. Step 5: Solve for x
    x = 1,970,623.73/850.92
  6. Step 6: Final answer
    x = 2,315.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.