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Finding the Third Proportional to 770.91 and 1,194.05

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Solution

The third proportional to 770.91 and 1,194.05 is: 1,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.91 : 1,194.05 = 1,194.05 : x
  2. Step 2: Convert to fraction form
    770.91/1,194.05 = 1,194.05/x
  3. Step 3: Cross multiply
    770.91x = 1,194.05 × 1,194.05
  4. Step 4: Simplify right side
    770.91x = 1,425,747.94
  5. Step 5: Solve for x
    x = 1,425,747.94/770.91
  6. Step 6: Final answer
    x = 1,849.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.