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Finding the Third Proportional to 327,224.25 and 480,062.25

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Solution

The third proportional to 327,224.25 and 480,062.25 is: 704,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,224.25 : 480,062.25 = 480,062.25 : x
  2. Step 2: Convert to fraction form
    327,224.25/480,062.25 = 480,062.25/x
  3. Step 3: Cross multiply
    327,224.25x = 480,062.25 × 480,062.25
  4. Step 4: Simplify right side
    327,224.25x = 230,459,763,875.06
  5. Step 5: Solve for x
    x = 230,459,763,875.06/327,224.25
  6. Step 6: Final answer
    x = 704,286.93

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Why These Related Problems?

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