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Finding the Third Proportional to 244,091 and 377,912

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Solution

The third proportional to 244,091 and 377,912 is: 585,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,091 : 377,912 = 377,912 : x
  2. Step 2: Convert to fraction form
    244,091/377,912 = 377,912/x
  3. Step 3: Cross multiply
    244,091x = 377,912 × 377,912
  4. Step 4: Simplify right side
    244,091x = 142,817,479,744
  5. Step 5: Solve for x
    x = 142,817,479,744/244,091
  6. Step 6: Final answer
    x = 585,099.33

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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.