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Finding the Third Proportional to 244,879.31 and 378,401.06

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Solution

The third proportional to 244,879.31 and 378,401.06 is: 584,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,879.31 : 378,401.06 = 378,401.06 : x
  2. Step 2: Convert to fraction form
    244,879.31/378,401.06 = 378,401.06/x
  3. Step 3: Cross multiply
    244,879.31x = 378,401.06 × 378,401.06
  4. Step 4: Simplify right side
    244,879.31x = 143,187,364,101.13
  5. Step 5: Solve for x
    x = 143,187,364,101.13/244,879.31
  6. Step 6: Final answer
    x = 584,726.26

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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.