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Finding the Third Proportional to 258,514 and 388,045

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Solution

The third proportional to 258,514 and 388,045 is: 582,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,514 : 388,045 = 388,045 : x
  2. Step 2: Convert to fraction form
    258,514/388,045 = 388,045/x
  3. Step 3: Cross multiply
    258,514x = 388,045 × 388,045
  4. Step 4: Simplify right side
    258,514x = 150,578,922,025
  5. Step 5: Solve for x
    x = 150,578,922,025/258,514
  6. Step 6: Final answer
    x = 582,478.79

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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.