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Finding the Third Proportional to 252,675 and 378,623

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Solution

The third proportional to 252,675 and 378,623 is: 567,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,675 : 378,623 = 378,623 : x
  2. Step 2: Convert to fraction form
    252,675/378,623 = 378,623/x
  3. Step 3: Cross multiply
    252,675x = 378,623 × 378,623
  4. Step 4: Simplify right side
    252,675x = 143,355,376,129
  5. Step 5: Solve for x
    x = 143,355,376,129/252,675
  6. Step 6: Final answer
    x = 567,350.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.