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Finding the Third Proportional to 267,984 and 574,834

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Solution

The third proportional to 267,984 and 574,834 is: 1,233,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,984 : 574,834 = 574,834 : x
  2. Step 2: Convert to fraction form
    267,984/574,834 = 574,834/x
  3. Step 3: Cross multiply
    267,984x = 574,834 × 574,834
  4. Step 4: Simplify right side
    267,984x = 330,434,127,556
  5. Step 5: Solve for x
    x = 330,434,127,556/267,984
  6. Step 6: Final answer
    x = 1,233,036.78

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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.