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Finding the Third Proportional to 330,048 and 495,801

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Solution

The third proportional to 330,048 and 495,801 is: 744,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,048 : 495,801 = 495,801 : x
  2. Step 2: Convert to fraction form
    330,048/495,801 = 495,801/x
  3. Step 3: Cross multiply
    330,048x = 495,801 × 495,801
  4. Step 4: Simplify right side
    330,048x = 245,818,631,601
  5. Step 5: Solve for x
    x = 245,818,631,601/330,048
  6. Step 6: Final answer
    x = 744,796.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.