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Finding the Third Proportional to 481 and 684.50

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Solution

The third proportional to 481 and 684.50 is: 974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    481 : 684.50 = 684.50 : x
  2. Step 2: Convert to fraction form
    481/684.50 = 684.50/x
  3. Step 3: Cross multiply
    481x = 684.50 × 684.50
  4. Step 4: Simplify right side
    481x = 468,540.25
  5. Step 5: Solve for x
    x = 468,540.25/481
  6. Step 6: Final answer
    x = 974.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.