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Finding the Third Proportional to 311,586.75 and 488,089.13

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Solution

The third proportional to 311,586.75 and 488,089.13 is: 764,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,586.75 : 488,089.13 = 488,089.13 : x
  2. Step 2: Convert to fraction form
    311,586.75/488,089.13 = 488,089.13/x
  3. Step 3: Cross multiply
    311,586.75x = 488,089.13 × 488,089.13
  4. Step 4: Simplify right side
    311,586.75x = 238,230,993,943.27
  5. Step 5: Solve for x
    x = 238,230,993,943.27/311,586.75
  6. Step 6: Final answer
    x = 764,573.57

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Why These Related Problems?

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