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Finding the Third Proportional to 392,218 and 552,317

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Solution

The third proportional to 392,218 and 552,317 is: 777,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,218 : 552,317 = 552,317 : x
  2. Step 2: Convert to fraction form
    392,218/552,317 = 552,317/x
  3. Step 3: Cross multiply
    392,218x = 552,317 × 552,317
  4. Step 4: Simplify right side
    392,218x = 305,054,068,489
  5. Step 5: Solve for x
    x = 305,054,068,489/392,218
  6. Step 6: Final answer
    x = 777,766.62

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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.