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Finding the Third Proportional to 258,327 and 547,384

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Solution

The third proportional to 258,327 and 547,384 is: 1,159,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,327 : 547,384 = 547,384 : x
  2. Step 2: Convert to fraction form
    258,327/547,384 = 547,384/x
  3. Step 3: Cross multiply
    258,327x = 547,384 × 547,384
  4. Step 4: Simplify right side
    258,327x = 299,629,243,456
  5. Step 5: Solve for x
    x = 299,629,243,456/258,327
  6. Step 6: Final answer
    x = 1,159,883.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.