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Finding the Third Proportional to 392,060 and 576,608

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Solution

The third proportional to 392,060 and 576,608 is: 848,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,060 : 576,608 = 576,608 : x
  2. Step 2: Convert to fraction form
    392,060/576,608 = 576,608/x
  3. Step 3: Cross multiply
    392,060x = 576,608 × 576,608
  4. Step 4: Simplify right side
    392,060x = 332,476,785,664
  5. Step 5: Solve for x
    x = 332,476,785,664/392,060
  6. Step 6: Final answer
    x = 848,025.27

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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.