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Finding the Third Proportional to 395,282 and 576,075

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Solution

The third proportional to 395,282 and 576,075 is: 839,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,282 : 576,075 = 576,075 : x
  2. Step 2: Convert to fraction form
    395,282/576,075 = 576,075/x
  3. Step 3: Cross multiply
    395,282x = 576,075 × 576,075
  4. Step 4: Simplify right side
    395,282x = 331,862,405,625
  5. Step 5: Solve for x
    x = 331,862,405,625/395,282
  6. Step 6: Final answer
    x = 839,558.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.