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Finding the Third Proportional to 330,905.25 and 465,982.88

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Solution

The third proportional to 330,905.25 and 465,982.88 is: 656,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,905.25 : 465,982.88 = 465,982.88 : x
  2. Step 2: Convert to fraction form
    330,905.25/465,982.88 = 465,982.88/x
  3. Step 3: Cross multiply
    330,905.25x = 465,982.88 × 465,982.88
  4. Step 4: Simplify right side
    330,905.25x = 217,140,039,793.27
  5. Step 5: Solve for x
    x = 217,140,039,793.27/330,905.25
  6. Step 6: Final answer
    x = 656,200.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.