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Finding the Third Proportional to 327,227 and 480,066.25

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Solution

The third proportional to 327,227 and 480,066.25 is: 704,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,227 : 480,066.25 = 480,066.25 : x
  2. Step 2: Convert to fraction form
    327,227/480,066.25 = 480,066.25/x
  3. Step 3: Cross multiply
    327,227x = 480,066.25 × 480,066.25
  4. Step 4: Simplify right side
    327,227x = 230,463,604,389.06
  5. Step 5: Solve for x
    x = 230,463,604,389.06/327,227
  6. Step 6: Final answer
    x = 704,292.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.