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Finding the Third Proportional to 580,578 and 879,615

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Solution

The third proportional to 580,578 and 879,615 is: 1,332,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,578 : 879,615 = 879,615 : x
  2. Step 2: Convert to fraction form
    580,578/879,615 = 879,615/x
  3. Step 3: Cross multiply
    580,578x = 879,615 × 879,615
  4. Step 4: Simplify right side
    580,578x = 773,722,548,225
  5. Step 5: Solve for x
    x = 773,722,548,225/580,578
  6. Step 6: Final answer
    x = 1,332,676.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.