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Finding the Third Proportional to 327,576 and 480,620

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Solution

The third proportional to 327,576 and 480,620 is: 705,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,576 : 480,620 = 480,620 : x
  2. Step 2: Convert to fraction form
    327,576/480,620 = 480,620/x
  3. Step 3: Cross multiply
    327,576x = 480,620 × 480,620
  4. Step 4: Simplify right side
    327,576x = 230,995,584,400
  5. Step 5: Solve for x
    x = 230,995,584,400/327,576
  6. Step 6: Final answer
    x = 705,166.39

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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.