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Finding the Third Proportional to 230,867 and 494,580

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Solution

The third proportional to 230,867 and 494,580 is: 1,059,525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,867 : 494,580 = 494,580 : x
  2. Step 2: Convert to fraction form
    230,867/494,580 = 494,580/x
  3. Step 3: Cross multiply
    230,867x = 494,580 × 494,580
  4. Step 4: Simplify right side
    230,867x = 244,609,376,400
  5. Step 5: Solve for x
    x = 244,609,376,400/230,867
  6. Step 6: Final answer
    x = 1,059,525.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.