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Finding the Third Proportional to 499,133.25 and 814,954.50

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Solution

The third proportional to 499,133.25 and 814,954.50 is: 1,330,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,133.25 : 814,954.50 = 814,954.50 : x
  2. Step 2: Convert to fraction form
    499,133.25/814,954.50 = 814,954.50/x
  3. Step 3: Cross multiply
    499,133.25x = 814,954.50 × 814,954.50
  4. Step 4: Simplify right side
    499,133.25x = 664,150,837,070.25
  5. Step 5: Solve for x
    x = 664,150,837,070.25/499,133.25
  6. Step 6: Final answer
    x = 1,330,608.28

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.