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Finding the Third Proportional to 268.59 and 582.26

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Solution

The third proportional to 268.59 and 582.26 is: 1,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.59 : 582.26 = 582.26 : x
  2. Step 2: Convert to fraction form
    268.59/582.26 = 582.26/x
  3. Step 3: Cross multiply
    268.59x = 582.26 × 582.26
  4. Step 4: Simplify right side
    268.59x = 339,024.16
  5. Step 5: Solve for x
    x = 339,024.16/268.59
  6. Step 6: Final answer
    x = 1,262.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.