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Finding the Third Proportional to 259,403 and 476,182

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Solution

The third proportional to 259,403 and 476,182 is: 874,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,403 : 476,182 = 476,182 : x
  2. Step 2: Convert to fraction form
    259,403/476,182 = 476,182/x
  3. Step 3: Cross multiply
    259,403x = 476,182 × 476,182
  4. Step 4: Simplify right side
    259,403x = 226,749,297,124
  5. Step 5: Solve for x
    x = 226,749,297,124/259,403
  6. Step 6: Final answer
    x = 874,119.79

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.