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Finding the Third Proportional to 324,436 and 433,980

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Solution

The third proportional to 324,436 and 433,980 is: 580,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,436 : 433,980 = 433,980 : x
  2. Step 2: Convert to fraction form
    324,436/433,980 = 433,980/x
  3. Step 3: Cross multiply
    324,436x = 433,980 × 433,980
  4. Step 4: Simplify right side
    324,436x = 188,338,640,400
  5. Step 5: Solve for x
    x = 188,338,640,400/324,436
  6. Step 6: Final answer
    x = 580,510.92

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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.