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Finding the Third Proportional to 324,462 and 434,013

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Solution

The third proportional to 324,462 and 434,013 is: 580,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,462 : 434,013 = 434,013 : x
  2. Step 2: Convert to fraction form
    324,462/434,013 = 434,013/x
  3. Step 3: Cross multiply
    324,462x = 434,013 × 434,013
  4. Step 4: Simplify right side
    324,462x = 188,367,284,169
  5. Step 5: Solve for x
    x = 188,367,284,169/324,462
  6. Step 6: Final answer
    x = 580,552.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.