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Finding the Third Proportional to 774.84 and 1,162.55

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Solution

The third proportional to 774.84 and 1,162.55 is: 1,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,162.55 = 1,162.55 : x
  2. Step 2: Convert to fraction form
    774.84/1,162.55 = 1,162.55/x
  3. Step 3: Cross multiply
    774.84x = 1,162.55 × 1,162.55
  4. Step 4: Simplify right side
    774.84x = 1,351,515.24
  5. Step 5: Solve for x
    x = 1,351,515.24/774.84
  6. Step 6: Final answer
    x = 1,744.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.