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Finding the Third Proportional to 680 and 1,763

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Solution

The third proportional to 680 and 1,763 is: 4,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 1,763 = 1,763 : x
  2. Step 2: Convert to fraction form
    680/1,763 = 1,763/x
  3. Step 3: Cross multiply
    680x = 1,763 × 1,763
  4. Step 4: Simplify right side
    680x = 3,108,169
  5. Step 5: Solve for x
    x = 3,108,169/680
  6. Step 6: Final answer
    x = 4,570.84

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These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.