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Finding the Third Proportional to 283,041 and 454,497

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Solution

The third proportional to 283,041 and 454,497 is: 729,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,041 : 454,497 = 454,497 : x
  2. Step 2: Convert to fraction form
    283,041/454,497 = 454,497/x
  3. Step 3: Cross multiply
    283,041x = 454,497 × 454,497
  4. Step 4: Simplify right side
    283,041x = 206,567,523,009
  5. Step 5: Solve for x
    x = 206,567,523,009/283,041
  6. Step 6: Final answer
    x = 729,814.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.