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Finding the Third Proportional to 491,609.25 and 664,200

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Solution

The third proportional to 491,609.25 and 664,200 is: 897,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,609.25 : 664,200 = 664,200 : x
  2. Step 2: Convert to fraction form
    491,609.25/664,200 = 664,200/x
  3. Step 3: Cross multiply
    491,609.25x = 664,200 × 664,200
  4. Step 4: Simplify right side
    491,609.25x = 441,161,640,000
  5. Step 5: Solve for x
    x = 441,161,640,000/491,609.25
  6. Step 6: Final answer
    x = 897,382.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.