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Finding the Third Proportional to 319,335.75 and 480,336.75

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Solution

The third proportional to 319,335.75 and 480,336.75 is: 722,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,335.75 : 480,336.75 = 480,336.75 : x
  2. Step 2: Convert to fraction form
    319,335.75/480,336.75 = 480,336.75/x
  3. Step 3: Cross multiply
    319,335.75x = 480,336.75 × 480,336.75
  4. Step 4: Simplify right side
    319,335.75x = 230,723,393,400.56
  5. Step 5: Solve for x
    x = 230,723,393,400.56/319,335.75
  6. Step 6: Final answer
    x = 722,510.38

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