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Finding the Third Proportional to 680.63 and 1,683.56

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Solution

The third proportional to 680.63 and 1,683.56 is: 4,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.63 : 1,683.56 = 1,683.56 : x
  2. Step 2: Convert to fraction form
    680.63/1,683.56 = 1,683.56/x
  3. Step 3: Cross multiply
    680.63x = 1,683.56 × 1,683.56
  4. Step 4: Simplify right side
    680.63x = 2,834,382.69
  5. Step 5: Solve for x
    x = 2,834,382.69/680.63
  6. Step 6: Final answer
    x = 4,164.38

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.