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Finding the Third Proportional to 244,910 and 378,278

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Solution

The third proportional to 244,910 and 378,278 is: 584,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,910 : 378,278 = 378,278 : x
  2. Step 2: Convert to fraction form
    244,910/378,278 = 378,278/x
  3. Step 3: Cross multiply
    244,910x = 378,278 × 378,278
  4. Step 4: Simplify right side
    244,910x = 143,094,245,284
  5. Step 5: Solve for x
    x = 143,094,245,284/244,910
  6. Step 6: Final answer
    x = 584,272.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.