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Finding the Third Proportional to 242,569 and 381,674

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Solution

The third proportional to 242,569 and 381,674 is: 600,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,569 : 381,674 = 381,674 : x
  2. Step 2: Convert to fraction form
    242,569/381,674 = 381,674/x
  3. Step 3: Cross multiply
    242,569x = 381,674 × 381,674
  4. Step 4: Simplify right side
    242,569x = 145,675,042,276
  5. Step 5: Solve for x
    x = 145,675,042,276/242,569
  6. Step 6: Final answer
    x = 600,550.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.