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Finding the Third Proportional to 230,423.50 and 479,241

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Solution

The third proportional to 230,423.50 and 479,241 is: 996,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,423.50 : 479,241 = 479,241 : x
  2. Step 2: Convert to fraction form
    230,423.50/479,241 = 479,241/x
  3. Step 3: Cross multiply
    230,423.50x = 479,241 × 479,241
  4. Step 4: Simplify right side
    230,423.50x = 229,671,936,081
  5. Step 5: Solve for x
    x = 229,671,936,081/230,423.50
  6. Step 6: Final answer
    x = 996,738.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.