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Finding the Third Proportional to 582.75 and 622.69

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Solution

The third proportional to 582.75 and 622.69 is: 665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 622.69 = 622.69 : x
  2. Step 2: Convert to fraction form
    582.75/622.69 = 622.69/x
  3. Step 3: Cross multiply
    582.75x = 622.69 × 622.69
  4. Step 4: Simplify right side
    582.75x = 387,739.72
  5. Step 5: Solve for x
    x = 387,739.72/582.75
  6. Step 6: Final answer
    x = 665.36

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.