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Finding the Third Proportional to 238,920 and 521,616

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Solution

The third proportional to 238,920 and 521,616 is: 1,138,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,920 : 521,616 = 521,616 : x
  2. Step 2: Convert to fraction form
    238,920/521,616 = 521,616/x
  3. Step 3: Cross multiply
    238,920x = 521,616 × 521,616
  4. Step 4: Simplify right side
    238,920x = 272,083,251,456
  5. Step 5: Solve for x
    x = 272,083,251,456/238,920
  6. Step 6: Final answer
    x = 1,138,804.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.