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Finding the Third Proportional to 394,560 and 558,292

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Solution

The third proportional to 394,560 and 558,292 is: 789,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,560 : 558,292 = 558,292 : x
  2. Step 2: Convert to fraction form
    394,560/558,292 = 558,292/x
  3. Step 3: Cross multiply
    394,560x = 558,292 × 558,292
  4. Step 4: Simplify right side
    394,560x = 311,689,957,264
  5. Step 5: Solve for x
    x = 311,689,957,264/394,560
  6. Step 6: Final answer
    x = 789,968.46

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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.