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Finding the Third Proportional to 270.63 and 582.33

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Solution

The third proportional to 270.63 and 582.33 is: 1,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.63 : 582.33 = 582.33 : x
  2. Step 2: Convert to fraction form
    270.63/582.33 = 582.33/x
  3. Step 3: Cross multiply
    270.63x = 582.33 × 582.33
  4. Step 4: Simplify right side
    270.63x = 339,106.05
  5. Step 5: Solve for x
    x = 339,106.05/270.63
  6. Step 6: Final answer
    x = 1,253.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.