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Finding the Third Proportional to 574 and 815.50

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Solution

The third proportional to 574 and 815.50 is: 1,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 815.50 = 815.50 : x
  2. Step 2: Convert to fraction form
    574/815.50 = 815.50/x
  3. Step 3: Cross multiply
    574x = 815.50 × 815.50
  4. Step 4: Simplify right side
    574x = 665,040.25
  5. Step 5: Solve for x
    x = 665,040.25/574
  6. Step 6: Final answer
    x = 1,158.61

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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.