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Finding the Third Proportional to 327,225 and 480,066

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Solution

The third proportional to 327,225 and 480,066 is: 704,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,225 : 480,066 = 480,066 : x
  2. Step 2: Convert to fraction form
    327,225/480,066 = 480,066/x
  3. Step 3: Cross multiply
    327,225x = 480,066 × 480,066
  4. Step 4: Simplify right side
    327,225x = 230,463,364,356
  5. Step 5: Solve for x
    x = 230,463,364,356/327,225
  6. Step 6: Final answer
    x = 704,296.32

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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.