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Finding the Third Proportional to 413.72 and 726.19

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Solution

The third proportional to 413.72 and 726.19 is: 1,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.72 : 726.19 = 726.19 : x
  2. Step 2: Convert to fraction form
    413.72/726.19 = 726.19/x
  3. Step 3: Cross multiply
    413.72x = 726.19 × 726.19
  4. Step 4: Simplify right side
    413.72x = 527,348.29
  5. Step 5: Solve for x
    x = 527,348.29/413.72
  6. Step 6: Final answer
    x = 1,274.65

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.