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Finding the Third Proportional to 235,853 and 509,067

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Solution

The third proportional to 235,853 and 509,067 is: 1,098,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,853 : 509,067 = 509,067 : x
  2. Step 2: Convert to fraction form
    235,853/509,067 = 509,067/x
  3. Step 3: Cross multiply
    235,853x = 509,067 × 509,067
  4. Step 4: Simplify right side
    235,853x = 259,149,210,489
  5. Step 5: Solve for x
    x = 259,149,210,489/235,853
  6. Step 6: Final answer
    x = 1,098,774.28

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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.