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Finding the Third Proportional to 770.44 and 1,206.97

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Solution

The third proportional to 770.44 and 1,206.97 is: 1,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,206.97 = 1,206.97 : x
  2. Step 2: Convert to fraction form
    770.44/1,206.97 = 1,206.97/x
  3. Step 3: Cross multiply
    770.44x = 1,206.97 × 1,206.97
  4. Step 4: Simplify right side
    770.44x = 1,456,773.56
  5. Step 5: Solve for x
    x = 1,456,773.56/770.44
  6. Step 6: Final answer
    x = 1,890.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.