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Finding the Third Proportional to 260.44 and 562.06

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Solution

The third proportional to 260.44 and 562.06 is: 1,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.44 : 562.06 = 562.06 : x
  2. Step 2: Convert to fraction form
    260.44/562.06 = 562.06/x
  3. Step 3: Cross multiply
    260.44x = 562.06 × 562.06
  4. Step 4: Simplify right side
    260.44x = 315,914.25
  5. Step 5: Solve for x
    x = 315,914.25/260.44
  6. Step 6: Final answer
    x = 1,213.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.