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Finding the Third Proportional to 734 and 1,977

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Solution

The third proportional to 734 and 1,977 is: 5,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    734 : 1,977 = 1,977 : x
  2. Step 2: Convert to fraction form
    734/1,977 = 1,977/x
  3. Step 3: Cross multiply
    734x = 1,977 × 1,977
  4. Step 4: Simplify right side
    734x = 3,908,529
  5. Step 5: Solve for x
    x = 3,908,529/734
  6. Step 6: Final answer
    x = 5,324.97

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.