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Finding the Third Proportional to 491,539.50 and 664,098.75

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Solution

The third proportional to 491,539.50 and 664,098.75 is: 897,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,539.50 : 664,098.75 = 664,098.75 : x
  2. Step 2: Convert to fraction form
    491,539.50/664,098.75 = 664,098.75/x
  3. Step 3: Cross multiply
    491,539.50x = 664,098.75 × 664,098.75
  4. Step 4: Simplify right side
    491,539.50x = 441,027,149,751.56
  5. Step 5: Solve for x
    x = 441,027,149,751.56/491,539.50
  6. Step 6: Final answer
    x = 897,236.44

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Why These Related Problems?

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