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Finding the Third Proportional to 265,104 and 580,608

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Solution

The third proportional to 265,104 and 580,608 is: 1,271,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,104 : 580,608 = 580,608 : x
  2. Step 2: Convert to fraction form
    265,104/580,608 = 580,608/x
  3. Step 3: Cross multiply
    265,104x = 580,608 × 580,608
  4. Step 4: Simplify right side
    265,104x = 337,105,649,664
  5. Step 5: Solve for x
    x = 337,105,649,664/265,104
  6. Step 6: Final answer
    x = 1,271,597.75

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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.