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Finding the Third Proportional to 261,992 and 534,992

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Solution

The third proportional to 261,992 and 534,992 is: 1,092,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,992 : 534,992 = 534,992 : x
  2. Step 2: Convert to fraction form
    261,992/534,992 = 534,992/x
  3. Step 3: Cross multiply
    261,992x = 534,992 × 534,992
  4. Step 4: Simplify right side
    261,992x = 286,216,440,064
  5. Step 5: Solve for x
    x = 286,216,440,064/261,992
  6. Step 6: Final answer
    x = 1,092,462.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.