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Finding the Third Proportional to 267,318 and 578,268

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Solution

The third proportional to 267,318 and 578,268 is: 1,250,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,318 : 578,268 = 578,268 : x
  2. Step 2: Convert to fraction form
    267,318/578,268 = 578,268/x
  3. Step 3: Cross multiply
    267,318x = 578,268 × 578,268
  4. Step 4: Simplify right side
    267,318x = 334,393,879,824
  5. Step 5: Solve for x
    x = 334,393,879,824/267,318
  6. Step 6: Final answer
    x = 1,250,921.67

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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.