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Finding the Third Proportional to 327,240 and 480,083

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Solution

The third proportional to 327,240 and 480,083 is: 704,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,240 : 480,083 = 480,083 : x
  2. Step 2: Convert to fraction form
    327,240/480,083 = 480,083/x
  3. Step 3: Cross multiply
    327,240x = 480,083 × 480,083
  4. Step 4: Simplify right side
    327,240x = 230,479,686,889
  5. Step 5: Solve for x
    x = 230,479,686,889/327,240
  6. Step 6: Final answer
    x = 704,313.92

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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.