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Finding the Third Proportional to 237,736 and 495,398

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Solution

The third proportional to 237,736 and 495,398 is: 1,032,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,736 : 495,398 = 495,398 : x
  2. Step 2: Convert to fraction form
    237,736/495,398 = 495,398/x
  3. Step 3: Cross multiply
    237,736x = 495,398 × 495,398
  4. Step 4: Simplify right side
    237,736x = 245,419,178,404
  5. Step 5: Solve for x
    x = 245,419,178,404/237,736
  6. Step 6: Final answer
    x = 1,032,318.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.