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Finding the Third Proportional to 285,744 and 431,208

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Solution

The third proportional to 285,744 and 431,208 is: 650,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,744 : 431,208 = 431,208 : x
  2. Step 2: Convert to fraction form
    285,744/431,208 = 431,208/x
  3. Step 3: Cross multiply
    285,744x = 431,208 × 431,208
  4. Step 4: Simplify right side
    285,744x = 185,940,339,264
  5. Step 5: Solve for x
    x = 185,940,339,264/285,744
  6. Step 6: Final answer
    x = 650,723.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.