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Finding the Third Proportional to 263.41 and 582.35

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Solution

The third proportional to 263.41 and 582.35 is: 1,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.41 : 582.35 = 582.35 : x
  2. Step 2: Convert to fraction form
    263.41/582.35 = 582.35/x
  3. Step 3: Cross multiply
    263.41x = 582.35 × 582.35
  4. Step 4: Simplify right side
    263.41x = 339,126.52
  5. Step 5: Solve for x
    x = 339,126.52/263.41
  6. Step 6: Final answer
    x = 1,287.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.