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Finding the Third Proportional to 267,684 and 574,301

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Solution

The third proportional to 267,684 and 574,301 is: 1,232,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,684 : 574,301 = 574,301 : x
  2. Step 2: Convert to fraction form
    267,684/574,301 = 574,301/x
  3. Step 3: Cross multiply
    267,684x = 574,301 × 574,301
  4. Step 4: Simplify right side
    267,684x = 329,821,638,601
  5. Step 5: Solve for x
    x = 329,821,638,601/267,684
  6. Step 6: Final answer
    x = 1,232,130.57

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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.