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Finding the Third Proportional to 344 and 741.81

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Solution

The third proportional to 344 and 741.81 is: 1,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344 : 741.81 = 741.81 : x
  2. Step 2: Convert to fraction form
    344/741.81 = 741.81/x
  3. Step 3: Cross multiply
    344x = 741.81 × 741.81
  4. Step 4: Simplify right side
    344x = 550,285.79
  5. Step 5: Solve for x
    x = 550,285.79/344
  6. Step 6: Final answer
    x = 1,599.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.