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Finding the Third Proportional to 850.97 and 1,246.09

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Solution

The third proportional to 850.97 and 1,246.09 is: 1,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.97 : 1,246.09 = 1,246.09 : x
  2. Step 2: Convert to fraction form
    850.97/1,246.09 = 1,246.09/x
  3. Step 3: Cross multiply
    850.97x = 1,246.09 × 1,246.09
  4. Step 4: Simplify right side
    850.97x = 1,552,732.60
  5. Step 5: Solve for x
    x = 1,552,732.60/850.97
  6. Step 6: Final answer
    x = 1,824.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.