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Finding the Third Proportional to 311,425.38 and 487,888.95

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Solution

The third proportional to 311,425.38 and 487,888.95 is: 764,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,425.38 : 487,888.95 = 487,888.95 : x
  2. Step 2: Convert to fraction form
    311,425.38/487,888.95 = 487,888.95/x
  3. Step 3: Cross multiply
    311,425.38x = 487,888.95 × 487,888.95
  4. Step 4: Simplify right side
    311,425.38x = 238,035,622,958.14
  5. Step 5: Solve for x
    x = 238,035,622,958.14/311,425.38
  6. Step 6: Final answer
    x = 764,342.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.