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Finding the Third Proportional to 394,092 and 577,164

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Solution

The third proportional to 394,092 and 577,164 is: 845,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,092 : 577,164 = 577,164 : x
  2. Step 2: Convert to fraction form
    394,092/577,164 = 577,164/x
  3. Step 3: Cross multiply
    394,092x = 577,164 × 577,164
  4. Step 4: Simplify right side
    394,092x = 333,118,282,896
  5. Step 5: Solve for x
    x = 333,118,282,896/394,092
  6. Step 6: Final answer
    x = 845,280.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.