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Finding the Third Proportional to 392,064 and 576,612

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Solution

The third proportional to 392,064 and 576,612 is: 848,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,064 : 576,612 = 576,612 : x
  2. Step 2: Convert to fraction form
    392,064/576,612 = 576,612/x
  3. Step 3: Cross multiply
    392,064x = 576,612 × 576,612
  4. Step 4: Simplify right side
    392,064x = 332,481,398,544
  5. Step 5: Solve for x
    x = 332,481,398,544/392,064
  6. Step 6: Final answer
    x = 848,028.38

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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.