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Finding the Third Proportional to 324,880 and 502,075

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Solution

The third proportional to 324,880 and 502,075 is: 775,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,880 : 502,075 = 502,075 : x
  2. Step 2: Convert to fraction form
    324,880/502,075 = 502,075/x
  3. Step 3: Cross multiply
    324,880x = 502,075 × 502,075
  4. Step 4: Simplify right side
    324,880x = 252,079,305,625
  5. Step 5: Solve for x
    x = 252,079,305,625/324,880
  6. Step 6: Final answer
    x = 775,915.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.