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Finding the Third Proportional to 265,108 and 580,616

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Solution

The third proportional to 265,108 and 580,616 is: 1,271,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,108 : 580,616 = 580,616 : x
  2. Step 2: Convert to fraction form
    265,108/580,616 = 580,616/x
  3. Step 3: Cross multiply
    265,108x = 580,616 × 580,616
  4. Step 4: Simplify right side
    265,108x = 337,114,939,456
  5. Step 5: Solve for x
    x = 337,114,939,456/265,108
  6. Step 6: Final answer
    x = 1,271,613.60

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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.