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Finding the Third Proportional to 311,573.25 and 488,139.75

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Solution

The third proportional to 311,573.25 and 488,139.75 is: 764,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,573.25 : 488,139.75 = 488,139.75 : x
  2. Step 2: Convert to fraction form
    311,573.25/488,139.75 = 488,139.75/x
  3. Step 3: Cross multiply
    311,573.25x = 488,139.75 × 488,139.75
  4. Step 4: Simplify right side
    311,573.25x = 238,280,415,530.06
  5. Step 5: Solve for x
    x = 238,280,415,530.06/311,573.25
  6. Step 6: Final answer
    x = 764,765.32

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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.