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Finding the Third Proportional to 392,150 and 552,224

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Solution

The third proportional to 392,150 and 552,224 is: 777,639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,150 : 552,224 = 552,224 : x
  2. Step 2: Convert to fraction form
    392,150/552,224 = 552,224/x
  3. Step 3: Cross multiply
    392,150x = 552,224 × 552,224
  4. Step 4: Simplify right side
    392,150x = 304,951,346,176
  5. Step 5: Solve for x
    x = 304,951,346,176/392,150
  6. Step 6: Final answer
    x = 777,639.54

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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.