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Finding the Third Proportional to 264,586 and 580,559

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Solution

The third proportional to 264,586 and 580,559 is: 1,273,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,586 : 580,559 = 580,559 : x
  2. Step 2: Convert to fraction form
    264,586/580,559 = 580,559/x
  3. Step 3: Cross multiply
    264,586x = 580,559 × 580,559
  4. Step 4: Simplify right side
    264,586x = 337,048,752,481
  5. Step 5: Solve for x
    x = 337,048,752,481/264,586
  6. Step 6: Final answer
    x = 1,273,872.21

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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.