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Finding the Third Proportional to 267,970 and 557,992

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Solution

The third proportional to 267,970 and 557,992 is: 1,161,902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,970 : 557,992 = 557,992 : x
  2. Step 2: Convert to fraction form
    267,970/557,992 = 557,992/x
  3. Step 3: Cross multiply
    267,970x = 557,992 × 557,992
  4. Step 4: Simplify right side
    267,970x = 311,355,072,064
  5. Step 5: Solve for x
    x = 311,355,072,064/267,970
  6. Step 6: Final answer
    x = 1,161,902.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.