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Finding the Third Proportional to 328,055 and 492,082

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Solution

The third proportional to 328,055 and 492,082 is: 738,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,055 : 492,082 = 492,082 : x
  2. Step 2: Convert to fraction form
    328,055/492,082 = 492,082/x
  3. Step 3: Cross multiply
    328,055x = 492,082 × 492,082
  4. Step 4: Simplify right side
    328,055x = 242,144,694,724
  5. Step 5: Solve for x
    x = 242,144,694,724/328,055
  6. Step 6: Final answer
    x = 738,122.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.