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Finding the Third Proportional to 244,878.19 and 378,399.09

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Solution

The third proportional to 244,878.19 and 378,399.09 is: 584,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,878.19 : 378,399.09 = 378,399.09 : x
  2. Step 2: Convert to fraction form
    244,878.19/378,399.09 = 378,399.09/x
  3. Step 3: Cross multiply
    244,878.19x = 378,399.09 × 378,399.09
  4. Step 4: Simplify right side
    244,878.19x = 143,185,874,150.82
  5. Step 5: Solve for x
    x = 143,185,874,150.82/244,878.19
  6. Step 6: Final answer
    x = 584,722.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.