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Finding the Third Proportional to 283.50 and 454.88

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Solution

The third proportional to 283.50 and 454.88 is: 729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 454.88 = 454.88 : x
  2. Step 2: Convert to fraction form
    283.50/454.88 = 454.88/x
  3. Step 3: Cross multiply
    283.50x = 454.88 × 454.88
  4. Step 4: Simplify right side
    283.50x = 206,911.27
  5. Step 5: Solve for x
    x = 206,911.27/283.50
  6. Step 6: Final answer
    x = 729.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.