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Finding the Third Proportional to 264,984.75 and 579,474

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Solution

The third proportional to 264,984.75 and 579,474 is: 1,267,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,984.75 : 579,474 = 579,474 : x
  2. Step 2: Convert to fraction form
    264,984.75/579,474 = 579,474/x
  3. Step 3: Cross multiply
    264,984.75x = 579,474 × 579,474
  4. Step 4: Simplify right side
    264,984.75x = 335,790,116,676
  5. Step 5: Solve for x
    x = 335,790,116,676/264,984.75
  6. Step 6: Final answer
    x = 1,267,205.44

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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.