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Finding the Third Proportional to 242,692 and 379,884

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Solution

The third proportional to 242,692 and 379,884 is: 594,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,692 : 379,884 = 379,884 : x
  2. Step 2: Convert to fraction form
    242,692/379,884 = 379,884/x
  3. Step 3: Cross multiply
    242,692x = 379,884 × 379,884
  4. Step 4: Simplify right side
    242,692x = 144,311,853,456
  5. Step 5: Solve for x
    x = 144,311,853,456/242,692
  6. Step 6: Final answer
    x = 594,629.63

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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.