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Finding the Third Proportional to 771.19 and 1,175.91

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Solution

The third proportional to 771.19 and 1,175.91 is: 1,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.19 : 1,175.91 = 1,175.91 : x
  2. Step 2: Convert to fraction form
    771.19/1,175.91 = 1,175.91/x
  3. Step 3: Cross multiply
    771.19x = 1,175.91 × 1,175.91
  4. Step 4: Simplify right side
    771.19x = 1,382,755.51
  5. Step 5: Solve for x
    x = 1,382,755.51/771.19
  6. Step 6: Final answer
    x = 1,793.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.