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Finding the Third Proportional to 311,481 and 488,065.50

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Solution

The third proportional to 311,481 and 488,065.50 is: 764,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,481 : 488,065.50 = 488,065.50 : x
  2. Step 2: Convert to fraction form
    311,481/488,065.50 = 488,065.50/x
  3. Step 3: Cross multiply
    311,481x = 488,065.50 × 488,065.50
  4. Step 4: Simplify right side
    311,481x = 238,207,932,290.25
  5. Step 5: Solve for x
    x = 238,207,932,290.25/311,481
  6. Step 6: Final answer
    x = 764,759.11

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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.