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Finding the Third Proportional to 284,920 and 451,163

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Solution

The third proportional to 284,920 and 451,163 is: 714,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,920 : 451,163 = 451,163 : x
  2. Step 2: Convert to fraction form
    284,920/451,163 = 451,163/x
  3. Step 3: Cross multiply
    284,920x = 451,163 × 451,163
  4. Step 4: Simplify right side
    284,920x = 203,548,052,569
  5. Step 5: Solve for x
    x = 203,548,052,569/284,920
  6. Step 6: Final answer
    x = 714,404.23

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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.