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Finding the Third Proportional to 244,923 and 378,306

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Solution

The third proportional to 244,923 and 378,306 is: 584,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,923 : 378,306 = 378,306 : x
  2. Step 2: Convert to fraction form
    244,923/378,306 = 378,306/x
  3. Step 3: Cross multiply
    244,923x = 378,306 × 378,306
  4. Step 4: Simplify right side
    244,923x = 143,115,429,636
  5. Step 5: Solve for x
    x = 143,115,429,636/244,923
  6. Step 6: Final answer
    x = 584,328.26

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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.