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Finding the Third Proportional to 413.44 and 658.13

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Solution

The third proportional to 413.44 and 658.13 is: 1,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.44 : 658.13 = 658.13 : x
  2. Step 2: Convert to fraction form
    413.44/658.13 = 658.13/x
  3. Step 3: Cross multiply
    413.44x = 658.13 × 658.13
  4. Step 4: Simplify right side
    413.44x = 433,128.52
  5. Step 5: Solve for x
    x = 433,128.52/413.44
  6. Step 6: Final answer
    x = 1,047.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.