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Finding the Third Proportional to 396.14 and 598.64

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Solution

The third proportional to 396.14 and 598.64 is: 904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 598.64 = 598.64 : x
  2. Step 2: Convert to fraction form
    396.14/598.64 = 598.64/x
  3. Step 3: Cross multiply
    396.14x = 598.64 × 598.64
  4. Step 4: Simplify right side
    396.14x = 358,370.60
  5. Step 5: Solve for x
    x = 358,370.60/396.14
  6. Step 6: Final answer
    x = 904.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.