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Finding the Third Proportional to 344.44 and 493.03

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Solution

The third proportional to 344.44 and 493.03 is: 705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.44 : 493.03 = 493.03 : x
  2. Step 2: Convert to fraction form
    344.44/493.03 = 493.03/x
  3. Step 3: Cross multiply
    344.44x = 493.03 × 493.03
  4. Step 4: Simplify right side
    344.44x = 243,079.81
  5. Step 5: Solve for x
    x = 243,079.81/344.44
  6. Step 6: Final answer
    x = 705.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.