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Finding the Third Proportional to 258,515 and 388,046

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Solution

The third proportional to 258,515 and 388,046 is: 582,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,515 : 388,046 = 388,046 : x
  2. Step 2: Convert to fraction form
    258,515/388,046 = 388,046/x
  3. Step 3: Cross multiply
    258,515x = 388,046 × 388,046
  4. Step 4: Simplify right side
    258,515x = 150,579,698,116
  5. Step 5: Solve for x
    x = 150,579,698,116/258,515
  6. Step 6: Final answer
    x = 582,479.54

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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.