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Finding the Third Proportional to 500,664.94 and 775,735.31

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Solution

The third proportional to 500,664.94 and 775,735.31 is: 1,201,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,664.94 : 775,735.31 = 775,735.31 : x
  2. Step 2: Convert to fraction form
    500,664.94/775,735.31 = 775,735.31/x
  3. Step 3: Cross multiply
    500,664.94x = 775,735.31 × 775,735.31
  4. Step 4: Simplify right side
    500,664.94x = 601,765,275,059.47
  5. Step 5: Solve for x
    x = 601,765,275,059.47/500,664.94
  6. Step 6: Final answer
    x = 1,201,932.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.