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Finding the Third Proportional to 244,382 and 378,393

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Solution

The third proportional to 244,382 and 378,393 is: 585,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,382 : 378,393 = 378,393 : x
  2. Step 2: Convert to fraction form
    244,382/378,393 = 378,393/x
  3. Step 3: Cross multiply
    244,382x = 378,393 × 378,393
  4. Step 4: Simplify right side
    244,382x = 143,181,262,449
  5. Step 5: Solve for x
    x = 143,181,262,449/244,382
  6. Step 6: Final answer
    x = 585,891.20

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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.