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Finding the Third Proportional to 394,540 and 564,176

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Solution

The third proportional to 394,540 and 564,176 is: 806,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,540 : 564,176 = 564,176 : x
  2. Step 2: Convert to fraction form
    394,540/564,176 = 564,176/x
  3. Step 3: Cross multiply
    394,540x = 564,176 × 564,176
  4. Step 4: Simplify right side
    394,540x = 318,294,558,976
  5. Step 5: Solve for x
    x = 318,294,558,976/394,540
  6. Step 6: Final answer
    x = 806,748.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.