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Finding the Third Proportional to 413.06 and 623.44

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Solution

The third proportional to 413.06 and 623.44 is: 940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.06 : 623.44 = 623.44 : x
  2. Step 2: Convert to fraction form
    413.06/623.44 = 623.44/x
  3. Step 3: Cross multiply
    413.06x = 623.44 × 623.44
  4. Step 4: Simplify right side
    413.06x = 388,674.32
  5. Step 5: Solve for x
    x = 388,674.32/413.06
  6. Step 6: Final answer
    x = 940.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.