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Finding the Third Proportional to 283,208 and 434,640

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Solution

The third proportional to 283,208 and 434,640 is: 667,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,208 : 434,640 = 434,640 : x
  2. Step 2: Convert to fraction form
    283,208/434,640 = 434,640/x
  3. Step 3: Cross multiply
    283,208x = 434,640 × 434,640
  4. Step 4: Simplify right side
    283,208x = 188,911,929,600
  5. Step 5: Solve for x
    x = 188,911,929,600/283,208
  6. Step 6: Final answer
    x = 667,043.06

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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.