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Finding the Third Proportional to 300,020 and 438,183

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Solution

The third proportional to 300,020 and 438,183 is: 639,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,020 : 438,183 = 438,183 : x
  2. Step 2: Convert to fraction form
    300,020/438,183 = 438,183/x
  3. Step 3: Cross multiply
    300,020x = 438,183 × 438,183
  4. Step 4: Simplify right side
    300,020x = 192,004,341,489
  5. Step 5: Solve for x
    x = 192,004,341,489/300,020
  6. Step 6: Final answer
    x = 639,971.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.