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Finding the Third Proportional to 230,425 and 479,243

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Solution

The third proportional to 230,425 and 479,243 is: 996,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,425 : 479,243 = 479,243 : x
  2. Step 2: Convert to fraction form
    230,425/479,243 = 479,243/x
  3. Step 3: Cross multiply
    230,425x = 479,243 × 479,243
  4. Step 4: Simplify right side
    230,425x = 229,673,853,049
  5. Step 5: Solve for x
    x = 229,673,853,049/230,425
  6. Step 6: Final answer
    x = 996,740.17

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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.