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Finding the Third Proportional to 353,884.50 and 764,082

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Solution

The third proportional to 353,884.50 and 764,082 is: 1,649,750.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,884.50 : 764,082 = 764,082 : x
  2. Step 2: Convert to fraction form
    353,884.50/764,082 = 764,082/x
  3. Step 3: Cross multiply
    353,884.50x = 764,082 × 764,082
  4. Step 4: Simplify right side
    353,884.50x = 583,821,302,724
  5. Step 5: Solve for x
    x = 583,821,302,724/353,884.50
  6. Step 6: Final answer
    x = 1,649,750.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.