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Finding the Third Proportional to 244,081 and 377,899

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Solution

The third proportional to 244,081 and 377,899 is: 585,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,081 : 377,899 = 377,899 : x
  2. Step 2: Convert to fraction form
    244,081/377,899 = 377,899/x
  3. Step 3: Cross multiply
    244,081x = 377,899 × 377,899
  4. Step 4: Simplify right side
    244,081x = 142,807,654,201
  5. Step 5: Solve for x
    x = 142,807,654,201/244,081
  6. Step 6: Final answer
    x = 585,083.04

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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.