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Finding the Third Proportional to 344.44 and 756.94

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Solution

The third proportional to 344.44 and 756.94 is: 1,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.44 : 756.94 = 756.94 : x
  2. Step 2: Convert to fraction form
    344.44/756.94 = 756.94/x
  3. Step 3: Cross multiply
    344.44x = 756.94 × 756.94
  4. Step 4: Simplify right side
    344.44x = 572,954.38
  5. Step 5: Solve for x
    x = 572,954.38/344.44
  6. Step 6: Final answer
    x = 1,663.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.