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Finding the Third Proportional to 321,169.50 and 481,747.50

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Solution

The third proportional to 321,169.50 and 481,747.50 is: 722,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,169.50 : 481,747.50 = 481,747.50 : x
  2. Step 2: Convert to fraction form
    321,169.50/481,747.50 = 481,747.50/x
  3. Step 3: Cross multiply
    321,169.50x = 481,747.50 × 481,747.50
  4. Step 4: Simplify right side
    321,169.50x = 232,080,653,756.25
  5. Step 5: Solve for x
    x = 232,080,653,756.25/321,169.50
  6. Step 6: Final answer
    x = 722,611.13

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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.