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Finding the Third Proportional to 311,429.25 and 480,945.38

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Solution

The third proportional to 311,429.25 and 480,945.38 is: 742,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,429.25 : 480,945.38 = 480,945.38 : x
  2. Step 2: Convert to fraction form
    311,429.25/480,945.38 = 480,945.38/x
  3. Step 3: Cross multiply
    311,429.25x = 480,945.38 × 480,945.38
  4. Step 4: Simplify right side
    311,429.25x = 231,308,453,733.89
  5. Step 5: Solve for x
    x = 231,308,453,733.89/311,429.25
  6. Step 6: Final answer
    x = 742,731.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.