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Finding the Third Proportional to 491,788.50 and 664,399.50

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Solution

The third proportional to 491,788.50 and 664,399.50 is: 897,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,788.50 : 664,399.50 = 664,399.50 : x
  2. Step 2: Convert to fraction form
    491,788.50/664,399.50 = 664,399.50/x
  3. Step 3: Cross multiply
    491,788.50x = 664,399.50 × 664,399.50
  4. Step 4: Simplify right side
    491,788.50x = 441,426,695,600.25
  5. Step 5: Solve for x
    x = 441,426,695,600.25/491,788.50
  6. Step 6: Final answer
    x = 897,594.59

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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.