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Finding the Third Proportional to 276,048 and 388,632

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Solution

The third proportional to 276,048 and 388,632 is: 547,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,048 : 388,632 = 388,632 : x
  2. Step 2: Convert to fraction form
    276,048/388,632 = 388,632/x
  3. Step 3: Cross multiply
    276,048x = 388,632 × 388,632
  4. Step 4: Simplify right side
    276,048x = 151,034,831,424
  5. Step 5: Solve for x
    x = 151,034,831,424/276,048
  6. Step 6: Final answer
    x = 547,132.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.