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Finding the Third Proportional to 681 and 1,746.50

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Solution

The third proportional to 681 and 1,746.50 is: 4,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    681 : 1,746.50 = 1,746.50 : x
  2. Step 2: Convert to fraction form
    681/1,746.50 = 1,746.50/x
  3. Step 3: Cross multiply
    681x = 1,746.50 × 1,746.50
  4. Step 4: Simplify right side
    681x = 3,050,262.25
  5. Step 5: Solve for x
    x = 3,050,262.25/681
  6. Step 6: Final answer
    x = 4,479.09

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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.