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Finding the Third Proportional to 267,824 and 557,840

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Solution

The third proportional to 267,824 and 557,840 is: 1,161,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,824 : 557,840 = 557,840 : x
  2. Step 2: Convert to fraction form
    267,824/557,840 = 557,840/x
  3. Step 3: Cross multiply
    267,824x = 557,840 × 557,840
  4. Step 4: Simplify right side
    267,824x = 311,185,465,600
  5. Step 5: Solve for x
    x = 311,185,465,600/267,824
  6. Step 6: Final answer
    x = 1,161,902.84

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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.