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Finding the Third Proportional to 605.75 and 925.38

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Solution

The third proportional to 605.75 and 925.38 is: 1,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.75 : 925.38 = 925.38 : x
  2. Step 2: Convert to fraction form
    605.75/925.38 = 925.38/x
  3. Step 3: Cross multiply
    605.75x = 925.38 × 925.38
  4. Step 4: Simplify right side
    605.75x = 856,318.89
  5. Step 5: Solve for x
    x = 856,318.89/605.75
  6. Step 6: Final answer
    x = 1,413.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.