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Finding the Third Proportional to 267,996 and 574,860

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Solution

The third proportional to 267,996 and 574,860 is: 1,233,093.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,996 : 574,860 = 574,860 : x
  2. Step 2: Convert to fraction form
    267,996/574,860 = 574,860/x
  3. Step 3: Cross multiply
    267,996x = 574,860 × 574,860
  4. Step 4: Simplify right side
    267,996x = 330,464,019,600
  5. Step 5: Solve for x
    x = 330,464,019,600/267,996
  6. Step 6: Final answer
    x = 1,233,093.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.