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Finding the Third Proportional to 655.31 and 1,022.81

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Solution

The third proportional to 655.31 and 1,022.81 is: 1,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.31 : 1,022.81 = 1,022.81 : x
  2. Step 2: Convert to fraction form
    655.31/1,022.81 = 1,022.81/x
  3. Step 3: Cross multiply
    655.31x = 1,022.81 × 1,022.81
  4. Step 4: Simplify right side
    655.31x = 1,046,145.41
  5. Step 5: Solve for x
    x = 1,046,145.41/655.31
  6. Step 6: Final answer
    x = 1,596.41

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.