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Finding the Third Proportional to 230,714 and 494,230

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Solution

The third proportional to 230,714 and 494,230 is: 1,058,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,714 : 494,230 = 494,230 : x
  2. Step 2: Convert to fraction form
    230,714/494,230 = 494,230/x
  3. Step 3: Cross multiply
    230,714x = 494,230 × 494,230
  4. Step 4: Simplify right side
    230,714x = 244,263,292,900
  5. Step 5: Solve for x
    x = 244,263,292,900/230,714
  6. Step 6: Final answer
    x = 1,058,727.66

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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.