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Finding the Third Proportional to 369.84 and 594.42

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Solution

The third proportional to 369.84 and 594.42 is: 955.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 594.42 = 594.42 : x
  2. Step 2: Convert to fraction form
    369.84/594.42 = 594.42/x
  3. Step 3: Cross multiply
    369.84x = 594.42 × 594.42
  4. Step 4: Simplify right side
    369.84x = 353,337.37
  5. Step 5: Solve for x
    x = 353,337.37/369.84
  6. Step 6: Final answer
    x = 955.37

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.