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Finding the Third Proportional to 268,245 and 580,050

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Solution

The third proportional to 268,245 and 580,050 is: 1,254,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,245 : 580,050 = 580,050 : x
  2. Step 2: Convert to fraction form
    268,245/580,050 = 580,050/x
  3. Step 3: Cross multiply
    268,245x = 580,050 × 580,050
  4. Step 4: Simplify right side
    268,245x = 336,458,002,500
  5. Step 5: Solve for x
    x = 336,458,002,500/268,245
  6. Step 6: Final answer
    x = 1,254,293.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.