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Finding the Third Proportional to 1,284.75 and 1,717.88

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Solution

The third proportional to 1,284.75 and 1,717.88 is: 2,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.75 : 1,717.88 = 1,717.88 : x
  2. Step 2: Convert to fraction form
    1,284.75/1,717.88 = 1,717.88/x
  3. Step 3: Cross multiply
    1,284.75x = 1,717.88 × 1,717.88
  4. Step 4: Simplify right side
    1,284.75x = 2,951,094.52
  5. Step 5: Solve for x
    x = 2,951,094.52/1,284.75
  6. Step 6: Final answer
    x = 2,297.02

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.