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Finding the Third Proportional to 1,714.44 and 2,560.41

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Solution

The third proportional to 1,714.44 and 2,560.41 is: 3,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.44 : 2,560.41 = 2,560.41 : x
  2. Step 2: Convert to fraction form
    1,714.44/2,560.41 = 2,560.41/x
  3. Step 3: Cross multiply
    1,714.44x = 2,560.41 × 2,560.41
  4. Step 4: Simplify right side
    1,714.44x = 6,555,680.17
  5. Step 5: Solve for x
    x = 6,555,680.17/1,714.44
  6. Step 6: Final answer
    x = 3,823.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.