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Finding the Third Proportional to 267,967 and 557,985.25

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Solution

The third proportional to 267,967 and 557,985.25 is: 1,161,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,967 : 557,985.25 = 557,985.25 : x
  2. Step 2: Convert to fraction form
    267,967/557,985.25 = 557,985.25/x
  3. Step 3: Cross multiply
    267,967x = 557,985.25 × 557,985.25
  4. Step 4: Simplify right side
    267,967x = 311,347,539,217.56
  5. Step 5: Solve for x
    x = 311,347,539,217.56/267,967
  6. Step 6: Final answer
    x = 1,161,887.62

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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.