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Finding the Third Proportional to 392,608 and 592,194

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Solution

The third proportional to 392,608 and 592,194 is: 893,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,608 : 592,194 = 592,194 : x
  2. Step 2: Convert to fraction form
    392,608/592,194 = 592,194/x
  3. Step 3: Cross multiply
    392,608x = 592,194 × 592,194
  4. Step 4: Simplify right side
    392,608x = 350,693,733,636
  5. Step 5: Solve for x
    x = 350,693,733,636/392,608
  6. Step 6: Final answer
    x = 893,241.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.