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Finding the Third Proportional to 485.56 and 678.94

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Solution

The third proportional to 485.56 and 678.94 is: 949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.56 : 678.94 = 678.94 : x
  2. Step 2: Convert to fraction form
    485.56/678.94 = 678.94/x
  3. Step 3: Cross multiply
    485.56x = 678.94 × 678.94
  4. Step 4: Simplify right side
    485.56x = 460,956.13
  5. Step 5: Solve for x
    x = 460,956.13/485.56
  6. Step 6: Final answer
    x = 949.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.