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Finding the Third Proportional to 264,779 and 576,150

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Solution

The third proportional to 264,779 and 576,150 is: 1,253,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,779 : 576,150 = 576,150 : x
  2. Step 2: Convert to fraction form
    264,779/576,150 = 576,150/x
  3. Step 3: Cross multiply
    264,779x = 576,150 × 576,150
  4. Step 4: Simplify right side
    264,779x = 331,948,822,500
  5. Step 5: Solve for x
    x = 331,948,822,500/264,779
  6. Step 6: Final answer
    x = 1,253,682.59

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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.