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Finding the Third Proportional to 267,969 and 557,988

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Solution

The third proportional to 267,969 and 557,988 is: 1,161,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,969 : 557,988 = 557,988 : x
  2. Step 2: Convert to fraction form
    267,969/557,988 = 557,988/x
  3. Step 3: Cross multiply
    267,969x = 557,988 × 557,988
  4. Step 4: Simplify right side
    267,969x = 311,350,608,144
  5. Step 5: Solve for x
    x = 311,350,608,144/267,969
  6. Step 6: Final answer
    x = 1,161,890.40

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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.