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Finding the Third Proportional to 264,851 and 579,218

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Solution

The third proportional to 264,851 and 579,218 is: 1,266,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,851 : 579,218 = 579,218 : x
  2. Step 2: Convert to fraction form
    264,851/579,218 = 579,218/x
  3. Step 3: Cross multiply
    264,851x = 579,218 × 579,218
  4. Step 4: Simplify right side
    264,851x = 335,493,491,524
  5. Step 5: Solve for x
    x = 335,493,491,524/264,851
  6. Step 6: Final answer
    x = 1,266,725.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.