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Finding the Third Proportional to 392,055 and 576,596

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Solution

The third proportional to 392,055 and 576,596 is: 848,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,055 : 576,596 = 576,596 : x
  2. Step 2: Convert to fraction form
    392,055/576,596 = 576,596/x
  3. Step 3: Cross multiply
    392,055x = 576,596 × 576,596
  4. Step 4: Simplify right side
    392,055x = 332,462,947,216
  5. Step 5: Solve for x
    x = 332,462,947,216/392,055
  6. Step 6: Final answer
    x = 848,000.78

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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.