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Finding the Third Proportional to 300.94 and 737.72

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Solution

The third proportional to 300.94 and 737.72 is: 1,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 737.72 = 737.72 : x
  2. Step 2: Convert to fraction form
    300.94/737.72 = 737.72/x
  3. Step 3: Cross multiply
    300.94x = 737.72 × 737.72
  4. Step 4: Simplify right side
    300.94x = 544,228.95
  5. Step 5: Solve for x
    x = 544,228.95/300.94
  6. Step 6: Final answer
    x = 1,808.45

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.