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Finding the Third Proportional to 238,635 and 519,327

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Solution

The third proportional to 238,635 and 519,327 is: 1,130,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,635 : 519,327 = 519,327 : x
  2. Step 2: Convert to fraction form
    238,635/519,327 = 519,327/x
  3. Step 3: Cross multiply
    238,635x = 519,327 × 519,327
  4. Step 4: Simplify right side
    238,635x = 269,700,532,929
  5. Step 5: Solve for x
    x = 269,700,532,929/238,635
  6. Step 6: Final answer
    x = 1,130,180.12

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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.