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Finding the Third Proportional to 283,093 and 434,467.50

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Solution

The third proportional to 283,093 and 434,467.50 is: 666,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,093 : 434,467.50 = 434,467.50 : x
  2. Step 2: Convert to fraction form
    283,093/434,467.50 = 434,467.50/x
  3. Step 3: Cross multiply
    283,093x = 434,467.50 × 434,467.50
  4. Step 4: Simplify right side
    283,093x = 188,762,008,556.25
  5. Step 5: Solve for x
    x = 188,762,008,556.25/283,093
  6. Step 6: Final answer
    x = 666,784.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.