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Finding the Third Proportional to 1,078.31 and 1,704.32

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Solution

The third proportional to 1,078.31 and 1,704.32 is: 2,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.31 : 1,704.32 = 1,704.32 : x
  2. Step 2: Convert to fraction form
    1,078.31/1,704.32 = 1,704.32/x
  3. Step 3: Cross multiply
    1,078.31x = 1,704.32 × 1,704.32
  4. Step 4: Simplify right side
    1,078.31x = 2,904,714.39
  5. Step 5: Solve for x
    x = 2,904,714.39/1,078.31
  6. Step 6: Final answer
    x = 2,693.76

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.