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Finding the Third Proportional to 267,262 and 575,992

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Solution

The third proportional to 267,262 and 575,992 is: 1,241,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,262 : 575,992 = 575,992 : x
  2. Step 2: Convert to fraction form
    267,262/575,992 = 575,992/x
  3. Step 3: Cross multiply
    267,262x = 575,992 × 575,992
  4. Step 4: Simplify right side
    267,262x = 331,766,784,064
  5. Step 5: Solve for x
    x = 331,766,784,064/267,262
  6. Step 6: Final answer
    x = 1,241,354.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.