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Finding the Third Proportional to 299.44 and 438.47

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Solution

The third proportional to 299.44 and 438.47 is: 642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.44 : 438.47 = 438.47 : x
  2. Step 2: Convert to fraction form
    299.44/438.47 = 438.47/x
  3. Step 3: Cross multiply
    299.44x = 438.47 × 438.47
  4. Step 4: Simplify right side
    299.44x = 192,254.84
  5. Step 5: Solve for x
    x = 192,254.84/299.44
  6. Step 6: Final answer
    x = 642.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.