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Finding the Third Proportional to 267,877 and 554,242

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Solution

The third proportional to 267,877 and 554,242 is: 1,146,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,877 : 554,242 = 554,242 : x
  2. Step 2: Convert to fraction form
    267,877/554,242 = 554,242/x
  3. Step 3: Cross multiply
    267,877x = 554,242 × 554,242
  4. Step 4: Simplify right side
    267,877x = 307,184,194,564
  5. Step 5: Solve for x
    x = 307,184,194,564/267,877
  6. Step 6: Final answer
    x = 1,146,735.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.