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Finding the Third Proportional to 413.81 and 593.06

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Solution

The third proportional to 413.81 and 593.06 is: 849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.81 : 593.06 = 593.06 : x
  2. Step 2: Convert to fraction form
    413.81/593.06 = 593.06/x
  3. Step 3: Cross multiply
    413.81x = 593.06 × 593.06
  4. Step 4: Simplify right side
    413.81x = 351,723.13
  5. Step 5: Solve for x
    x = 351,723.13/413.81
  6. Step 6: Final answer
    x = 849.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.