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Finding the Third Proportional to 776.11 and 1,169.58

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Solution

The third proportional to 776.11 and 1,169.58 is: 1,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.11 : 1,169.58 = 1,169.58 : x
  2. Step 2: Convert to fraction form
    776.11/1,169.58 = 1,169.58/x
  3. Step 3: Cross multiply
    776.11x = 1,169.58 × 1,169.58
  4. Step 4: Simplify right side
    776.11x = 1,367,912.99
  5. Step 5: Solve for x
    x = 1,367,912.99/776.11
  6. Step 6: Final answer
    x = 1,762.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.