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Finding the Third Proportional to 267,558 and 584,868

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Solution

The third proportional to 267,558 and 584,868 is: 1,278,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,558 : 584,868 = 584,868 : x
  2. Step 2: Convert to fraction form
    267,558/584,868 = 584,868/x
  3. Step 3: Cross multiply
    267,558x = 584,868 × 584,868
  4. Step 4: Simplify right side
    267,558x = 342,070,577,424
  5. Step 5: Solve for x
    x = 342,070,577,424/267,558
  6. Step 6: Final answer
    x = 1,278,491.31

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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.