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Finding the Third Proportional to 310,941 and 475,425

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Solution

The third proportional to 310,941 and 475,425 is: 726,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,941 : 475,425 = 475,425 : x
  2. Step 2: Convert to fraction form
    310,941/475,425 = 475,425/x
  3. Step 3: Cross multiply
    310,941x = 475,425 × 475,425
  4. Step 4: Simplify right side
    310,941x = 226,028,930,625
  5. Step 5: Solve for x
    x = 226,028,930,625/310,941
  6. Step 6: Final answer
    x = 726,919.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.