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Finding the Third Proportional to 396.06 and 591.13

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Solution

The third proportional to 396.06 and 591.13 is: 882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.06 : 591.13 = 591.13 : x
  2. Step 2: Convert to fraction form
    396.06/591.13 = 591.13/x
  3. Step 3: Cross multiply
    396.06x = 591.13 × 591.13
  4. Step 4: Simplify right side
    396.06x = 349,428.77
  5. Step 5: Solve for x
    x = 349,428.77/396.06
  6. Step 6: Final answer
    x = 882.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.