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Finding the Third Proportional to 242,039 and 494,770

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Solution

The third proportional to 242,039 and 494,770 is: 1,011,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,039 : 494,770 = 494,770 : x
  2. Step 2: Convert to fraction form
    242,039/494,770 = 494,770/x
  3. Step 3: Cross multiply
    242,039x = 494,770 × 494,770
  4. Step 4: Simplify right side
    242,039x = 244,797,352,900
  5. Step 5: Solve for x
    x = 244,797,352,900/242,039
  6. Step 6: Final answer
    x = 1,011,396.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.