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Finding the Third Proportional to 338.63 and 494.63

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Solution

The third proportional to 338.63 and 494.63 is: 722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.63 : 494.63 = 494.63 : x
  2. Step 2: Convert to fraction form
    338.63/494.63 = 494.63/x
  3. Step 3: Cross multiply
    338.63x = 494.63 × 494.63
  4. Step 4: Simplify right side
    338.63x = 244,653.89
  5. Step 5: Solve for x
    x = 244,653.89/338.63
  6. Step 6: Final answer
    x = 722.49

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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.