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Finding the Third Proportional to 277 and 747

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Solution

The third proportional to 277 and 747 is: 2,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277 : 747 = 747 : x
  2. Step 2: Convert to fraction form
    277/747 = 747/x
  3. Step 3: Cross multiply
    277x = 747 × 747
  4. Step 4: Simplify right side
    277x = 558,009
  5. Step 5: Solve for x
    x = 558,009/277
  6. Step 6: Final answer
    x = 2,014.47

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.