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Finding the Third Proportional to 236,784 and 495,456

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Solution

The third proportional to 236,784 and 495,456 is: 1,036,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,784 : 495,456 = 495,456 : x
  2. Step 2: Convert to fraction form
    236,784/495,456 = 495,456/x
  3. Step 3: Cross multiply
    236,784x = 495,456 × 495,456
  4. Step 4: Simplify right side
    236,784x = 245,476,647,936
  5. Step 5: Solve for x
    x = 245,476,647,936/236,784
  6. Step 6: Final answer
    x = 1,036,711.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.