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Finding the Third Proportional to 774.75 and 1,292.63

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Solution

The third proportional to 774.75 and 1,292.63 is: 2,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.75 : 1,292.63 = 1,292.63 : x
  2. Step 2: Convert to fraction form
    774.75/1,292.63 = 1,292.63/x
  3. Step 3: Cross multiply
    774.75x = 1,292.63 × 1,292.63
  4. Step 4: Simplify right side
    774.75x = 1,670,879.39
  5. Step 5: Solve for x
    x = 1,670,879.39/774.75
  6. Step 6: Final answer
    x = 2,156.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.