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Finding the Third Proportional to 322,996.50 and 495,793.50

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Solution

The third proportional to 322,996.50 and 495,793.50 is: 761,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,996.50 : 495,793.50 = 495,793.50 : x
  2. Step 2: Convert to fraction form
    322,996.50/495,793.50 = 495,793.50/x
  3. Step 3: Cross multiply
    322,996.50x = 495,793.50 × 495,793.50
  4. Step 4: Simplify right side
    322,996.50x = 245,811,194,642.25
  5. Step 5: Solve for x
    x = 245,811,194,642.25/322,996.50
  6. Step 6: Final answer
    x = 761,033.62

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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.