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Finding the Third Proportional to 283,007.25 and 384,550.88

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Solution

The third proportional to 283,007.25 and 384,550.88 is: 522,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,007.25 : 384,550.88 = 384,550.88 : x
  2. Step 2: Convert to fraction form
    283,007.25/384,550.88 = 384,550.88/x
  3. Step 3: Cross multiply
    283,007.25x = 384,550.88 × 384,550.88
  4. Step 4: Simplify right side
    283,007.25x = 147,879,375,463.27
  5. Step 5: Solve for x
    x = 147,879,375,463.27/283,007.25
  6. Step 6: Final answer
    x = 522,528.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.