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Finding the Third Proportional to 465.56 and 696.19

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Solution

The third proportional to 465.56 and 696.19 is: 1,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.56 : 696.19 = 696.19 : x
  2. Step 2: Convert to fraction form
    465.56/696.19 = 696.19/x
  3. Step 3: Cross multiply
    465.56x = 696.19 × 696.19
  4. Step 4: Simplify right side
    465.56x = 484,677.04
  5. Step 5: Solve for x
    x = 484,677.04/465.56
  6. Step 6: Final answer
    x = 1,041.06

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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.