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Finding the Third Proportional to 258,648 and 388,328

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Solution

The third proportional to 258,648 and 388,328 is: 583,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,648 : 388,328 = 388,328 : x
  2. Step 2: Convert to fraction form
    258,648/388,328 = 388,328/x
  3. Step 3: Cross multiply
    258,648x = 388,328 × 388,328
  4. Step 4: Simplify right side
    258,648x = 150,798,635,584
  5. Step 5: Solve for x
    x = 150,798,635,584/258,648
  6. Step 6: Final answer
    x = 583,026.49

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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.