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Finding the Third Proportional to 350.53 and 737.34

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Solution

The third proportional to 350.53 and 737.34 is: 1,551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.53 : 737.34 = 737.34 : x
  2. Step 2: Convert to fraction form
    350.53/737.34 = 737.34/x
  3. Step 3: Cross multiply
    350.53x = 737.34 × 737.34
  4. Step 4: Simplify right side
    350.53x = 543,675.81
  5. Step 5: Solve for x
    x = 543,675.81/350.53
  6. Step 6: Final answer
    x = 1,551.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.