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Finding the Third Proportional to 283,043 and 454,500

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Solution

The third proportional to 283,043 and 454,500 is: 729,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,043 : 454,500 = 454,500 : x
  2. Step 2: Convert to fraction form
    283,043/454,500 = 454,500/x
  3. Step 3: Cross multiply
    283,043x = 454,500 × 454,500
  4. Step 4: Simplify right side
    283,043x = 206,570,250,000
  5. Step 5: Solve for x
    x = 206,570,250,000/283,043
  6. Step 6: Final answer
    x = 729,819.32

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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.