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Finding the Third Proportional to 589.94 and 657.25

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Solution

The third proportional to 589.94 and 657.25 is: 732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.94 : 657.25 = 657.25 : x
  2. Step 2: Convert to fraction form
    589.94/657.25 = 657.25/x
  3. Step 3: Cross multiply
    589.94x = 657.25 × 657.25
  4. Step 4: Simplify right side
    589.94x = 431,977.56
  5. Step 5: Solve for x
    x = 431,977.56/589.94
  6. Step 6: Final answer
    x = 732.24

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.