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Finding the Third Proportional to 491,526 and 664,080.75

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Solution

The third proportional to 491,526 and 664,080.75 is: 897,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,526 : 664,080.75 = 664,080.75 : x
  2. Step 2: Convert to fraction form
    491,526/664,080.75 = 664,080.75/x
  3. Step 3: Cross multiply
    491,526x = 664,080.75 × 664,080.75
  4. Step 4: Simplify right side
    491,526x = 441,003,242,520.56
  5. Step 5: Solve for x
    x = 441,003,242,520.56/491,526
  6. Step 6: Final answer
    x = 897,212.44

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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.