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Finding the Third Proportional to 321,778.50 and 482,046.75

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Solution

The third proportional to 321,778.50 and 482,046.75 is: 722,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,778.50 : 482,046.75 = 482,046.75 : x
  2. Step 2: Convert to fraction form
    321,778.50/482,046.75 = 482,046.75/x
  3. Step 3: Cross multiply
    321,778.50x = 482,046.75 × 482,046.75
  4. Step 4: Simplify right side
    321,778.50x = 232,369,069,185.56
  5. Step 5: Solve for x
    x = 232,369,069,185.56/321,778.50
  6. Step 6: Final answer
    x = 722,139.82

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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.