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Finding the Third Proportional to 284,934 and 451,186

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Solution

The third proportional to 284,934 and 451,186 is: 714,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,934 : 451,186 = 451,186 : x
  2. Step 2: Convert to fraction form
    284,934/451,186 = 451,186/x
  3. Step 3: Cross multiply
    284,934x = 451,186 × 451,186
  4. Step 4: Simplify right side
    284,934x = 203,568,806,596
  5. Step 5: Solve for x
    x = 203,568,806,596/284,934
  6. Step 6: Final answer
    x = 714,441.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.