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Finding the Third Proportional to 264.44 and 413.53

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Solution

The third proportional to 264.44 and 413.53 is: 646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.44 : 413.53 = 413.53 : x
  2. Step 2: Convert to fraction form
    264.44/413.53 = 413.53/x
  3. Step 3: Cross multiply
    264.44x = 413.53 × 413.53
  4. Step 4: Simplify right side
    264.44x = 171,008.09
  5. Step 5: Solve for x
    x = 171,008.09/264.44
  6. Step 6: Final answer
    x = 646.69

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Why These Related Problems?

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