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Finding the Third Proportional to 322,668 and 495,144

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Solution

The third proportional to 322,668 and 495,144 is: 759,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,668 : 495,144 = 495,144 : x
  2. Step 2: Convert to fraction form
    322,668/495,144 = 495,144/x
  3. Step 3: Cross multiply
    322,668x = 495,144 × 495,144
  4. Step 4: Simplify right side
    322,668x = 245,167,580,736
  5. Step 5: Solve for x
    x = 245,167,580,736/322,668
  6. Step 6: Final answer
    x = 759,813.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.