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Finding the Third Proportional to 850.50 and 1,029.80

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Solution

The third proportional to 850.50 and 1,029.80 is: 1,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.50 : 1,029.80 = 1,029.80 : x
  2. Step 2: Convert to fraction form
    850.50/1,029.80 = 1,029.80/x
  3. Step 3: Cross multiply
    850.50x = 1,029.80 × 1,029.80
  4. Step 4: Simplify right side
    850.50x = 1,060,481.60
  5. Step 5: Solve for x
    x = 1,060,481.60/850.50
  6. Step 6: Final answer
    x = 1,246.89

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.