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Finding the Third Proportional to 244,770 and 378,225

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Solution

The third proportional to 244,770 and 378,225 is: 584,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,770 : 378,225 = 378,225 : x
  2. Step 2: Convert to fraction form
    244,770/378,225 = 378,225/x
  3. Step 3: Cross multiply
    244,770x = 378,225 × 378,225
  4. Step 4: Simplify right side
    244,770x = 143,054,150,625
  5. Step 5: Solve for x
    x = 143,054,150,625/244,770
  6. Step 6: Final answer
    x = 584,443.15

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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.