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Finding the Third Proportional to 790.22 and 1,704.32

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Solution

The third proportional to 790.22 and 1,704.32 is: 3,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.22 : 1,704.32 = 1,704.32 : x
  2. Step 2: Convert to fraction form
    790.22/1,704.32 = 1,704.32/x
  3. Step 3: Cross multiply
    790.22x = 1,704.32 × 1,704.32
  4. Step 4: Simplify right side
    790.22x = 2,904,714.39
  5. Step 5: Solve for x
    x = 2,904,714.39/790.22
  6. Step 6: Final answer
    x = 3,675.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.