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Finding the Third Proportional to 242,784 and 495,198

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Solution

The third proportional to 242,784 and 495,198 is: 1,010,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,784 : 495,198 = 495,198 : x
  2. Step 2: Convert to fraction form
    242,784/495,198 = 495,198/x
  3. Step 3: Cross multiply
    242,784x = 495,198 × 495,198
  4. Step 4: Simplify right side
    242,784x = 245,221,059,204
  5. Step 5: Solve for x
    x = 245,221,059,204/242,784
  6. Step 6: Final answer
    x = 1,010,037.97

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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.