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Finding the Third Proportional to 327,584 and 480,632

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Solution

The third proportional to 327,584 and 480,632 is: 705,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,584 : 480,632 = 480,632 : x
  2. Step 2: Convert to fraction form
    327,584/480,632 = 480,632/x
  3. Step 3: Cross multiply
    327,584x = 480,632 × 480,632
  4. Step 4: Simplify right side
    327,584x = 231,007,119,424
  5. Step 5: Solve for x
    x = 231,007,119,424/327,584
  6. Step 6: Final answer
    x = 705,184.38

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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.