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Finding the Third Proportional to 324,010 and 436,180

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Solution

The third proportional to 324,010 and 436,180 is: 587,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,010 : 436,180 = 436,180 : x
  2. Step 2: Convert to fraction form
    324,010/436,180 = 436,180/x
  3. Step 3: Cross multiply
    324,010x = 436,180 × 436,180
  4. Step 4: Simplify right side
    324,010x = 190,252,992,400
  5. Step 5: Solve for x
    x = 190,252,992,400/324,010
  6. Step 6: Final answer
    x = 587,182.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.