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Finding the Third Proportional to 850.92 and 1,390.92

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Solution

The third proportional to 850.92 and 1,390.92 is: 2,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.92 : 1,390.92 = 1,390.92 : x
  2. Step 2: Convert to fraction form
    850.92/1,390.92 = 1,390.92/x
  3. Step 3: Cross multiply
    850.92x = 1,390.92 × 1,390.92
  4. Step 4: Simplify right side
    850.92x = 1,934,663.66
  5. Step 5: Solve for x
    x = 1,934,663.66/850.92
  6. Step 6: Final answer
    x = 2,273.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.