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Finding the Third Proportional to 377.06 and 504.38

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Solution

The third proportional to 377.06 and 504.38 is: 674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 504.38 = 504.38 : x
  2. Step 2: Convert to fraction form
    377.06/504.38 = 504.38/x
  3. Step 3: Cross multiply
    377.06x = 504.38 × 504.38
  4. Step 4: Simplify right side
    377.06x = 254,394.14
  5. Step 5: Solve for x
    x = 254,394.14/377.06
  6. Step 6: Final answer
    x = 674.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.