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Finding the Third Proportional to 360.81 and 573.59

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Solution

The third proportional to 360.81 and 573.59 is: 911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.81 : 573.59 = 573.59 : x
  2. Step 2: Convert to fraction form
    360.81/573.59 = 573.59/x
  3. Step 3: Cross multiply
    360.81x = 573.59 × 573.59
  4. Step 4: Simplify right side
    360.81x = 329,007.55
  5. Step 5: Solve for x
    x = 329,007.55/360.81
  6. Step 6: Final answer
    x = 911.86

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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.