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Finding the Third Proportional to 411.19 and 611.44

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Solution

The third proportional to 411.19 and 611.44 is: 909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.19 : 611.44 = 611.44 : x
  2. Step 2: Convert to fraction form
    411.19/611.44 = 611.44/x
  3. Step 3: Cross multiply
    411.19x = 611.44 × 611.44
  4. Step 4: Simplify right side
    411.19x = 373,855.82
  5. Step 5: Solve for x
    x = 373,855.82/411.19
  6. Step 6: Final answer
    x = 909.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.