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Finding the Third Proportional to 514.03 and 1,096.50

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Solution

The third proportional to 514.03 and 1,096.50 is: 2,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.03 : 1,096.50 = 1,096.50 : x
  2. Step 2: Convert to fraction form
    514.03/1,096.50 = 1,096.50/x
  3. Step 3: Cross multiply
    514.03x = 1,096.50 × 1,096.50
  4. Step 4: Simplify right side
    514.03x = 1,202,312.25
  5. Step 5: Solve for x
    x = 1,202,312.25/514.03
  6. Step 6: Final answer
    x = 2,338.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.