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Finding the Third Proportional to 392,049 and 552,102

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Solution

The third proportional to 392,049 and 552,102 is: 777,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,049 : 552,102 = 552,102 : x
  2. Step 2: Convert to fraction form
    392,049/552,102 = 552,102/x
  3. Step 3: Cross multiply
    392,049x = 552,102 × 552,102
  4. Step 4: Simplify right side
    392,049x = 304,816,618,404
  5. Step 5: Solve for x
    x = 304,816,618,404/392,049
  6. Step 6: Final answer
    x = 777,496.23

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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.