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Finding the Third Proportional to 582,760 and 879,500

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Solution

The third proportional to 582,760 and 879,500 is: 1,327,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,760 : 879,500 = 879,500 : x
  2. Step 2: Convert to fraction form
    582,760/879,500 = 879,500/x
  3. Step 3: Cross multiply
    582,760x = 879,500 × 879,500
  4. Step 4: Simplify right side
    582,760x = 773,520,250,000
  5. Step 5: Solve for x
    x = 773,520,250,000/582,760
  6. Step 6: Final answer
    x = 1,327,339.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.