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Finding the Third Proportional to 236,674 and 509,433

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Solution

The third proportional to 236,674 and 509,433 is: 1,096,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,674 : 509,433 = 509,433 : x
  2. Step 2: Convert to fraction form
    236,674/509,433 = 509,433/x
  3. Step 3: Cross multiply
    236,674x = 509,433 × 509,433
  4. Step 4: Simplify right side
    236,674x = 259,521,981,489
  5. Step 5: Solve for x
    x = 259,521,981,489/236,674
  6. Step 6: Final answer
    x = 1,096,537.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.