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Finding the Third Proportional to 774.98 and 1,377.84

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Solution

The third proportional to 774.98 and 1,377.84 is: 2,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.98 : 1,377.84 = 1,377.84 : x
  2. Step 2: Convert to fraction form
    774.98/1,377.84 = 1,377.84/x
  3. Step 3: Cross multiply
    774.98x = 1,377.84 × 1,377.84
  4. Step 4: Simplify right side
    774.98x = 1,898,453.40
  5. Step 5: Solve for x
    x = 1,898,453.40/774.98
  6. Step 6: Final answer
    x = 2,449.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.