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Finding the Third Proportional to 258,518 and 388,050

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Solution

The third proportional to 258,518 and 388,050 is: 582,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,518 : 388,050 = 388,050 : x
  2. Step 2: Convert to fraction form
    258,518/388,050 = 388,050/x
  3. Step 3: Cross multiply
    258,518x = 388,050 × 388,050
  4. Step 4: Simplify right side
    258,518x = 150,582,802,500
  5. Step 5: Solve for x
    x = 150,582,802,500/258,518
  6. Step 6: Final answer
    x = 582,484.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.