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Finding the Third Proportional to 696.94 and 1,043.72

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Solution

The third proportional to 696.94 and 1,043.72 is: 1,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.94 : 1,043.72 = 1,043.72 : x
  2. Step 2: Convert to fraction form
    696.94/1,043.72 = 1,043.72/x
  3. Step 3: Cross multiply
    696.94x = 1,043.72 × 1,043.72
  4. Step 4: Simplify right side
    696.94x = 1,089,348.83
  5. Step 5: Solve for x
    x = 1,089,348.83/696.94
  6. Step 6: Final answer
    x = 1,563.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.