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Finding the Third Proportional to 329,264 and 491,936

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Solution

The third proportional to 329,264 and 491,936 is: 734,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,264 : 491,936 = 491,936 : x
  2. Step 2: Convert to fraction form
    329,264/491,936 = 491,936/x
  3. Step 3: Cross multiply
    329,264x = 491,936 × 491,936
  4. Step 4: Simplify right side
    329,264x = 242,001,028,096
  5. Step 5: Solve for x
    x = 242,001,028,096/329,264
  6. Step 6: Final answer
    x = 734,975.67

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