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Finding the Third Proportional to 490 and 696.50

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Solution

The third proportional to 490 and 696.50 is: 990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    490 : 696.50 = 696.50 : x
  2. Step 2: Convert to fraction form
    490/696.50 = 696.50/x
  3. Step 3: Cross multiply
    490x = 696.50 × 696.50
  4. Step 4: Simplify right side
    490x = 485,112.25
  5. Step 5: Solve for x
    x = 485,112.25/490
  6. Step 6: Final answer
    x = 990.03

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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.