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Finding the Third Proportional to 457.59 and 819.84

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Solution

The third proportional to 457.59 and 819.84 is: 1,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.59 : 819.84 = 819.84 : x
  2. Step 2: Convert to fraction form
    457.59/819.84 = 819.84/x
  3. Step 3: Cross multiply
    457.59x = 819.84 × 819.84
  4. Step 4: Simplify right side
    457.59x = 672,143.77
  5. Step 5: Solve for x
    x = 672,143.77/457.59
  6. Step 6: Final answer
    x = 1,468.87

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.