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Finding the Third Proportional to 252,267.75 and 379,464.75

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Solution

The third proportional to 252,267.75 and 379,464.75 is: 570,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,267.75 : 379,464.75 = 379,464.75 : x
  2. Step 2: Convert to fraction form
    252,267.75/379,464.75 = 379,464.75/x
  3. Step 3: Cross multiply
    252,267.75x = 379,464.75 × 379,464.75
  4. Step 4: Simplify right side
    252,267.75x = 143,993,496,492.56
  5. Step 5: Solve for x
    x = 143,993,496,492.56/252,267.75
  6. Step 6: Final answer
    x = 570,796.29

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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.