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Finding the Third Proportional to 289,748.25 and 461,046.38

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Solution

The third proportional to 289,748.25 and 461,046.38 is: 733,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,748.25 : 461,046.38 = 461,046.38 : x
  2. Step 2: Convert to fraction form
    289,748.25/461,046.38 = 461,046.38/x
  3. Step 3: Cross multiply
    289,748.25x = 461,046.38 × 461,046.38
  4. Step 4: Simplify right side
    289,748.25x = 212,563,759,900.64
  5. Step 5: Solve for x
    x = 212,563,759,900.64/289,748.25
  6. Step 6: Final answer
    x = 733,615.34

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