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Finding the Third Proportional to 394,936 and 564,352

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Solution

The third proportional to 394,936 and 564,352 is: 806,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,936 : 564,352 = 564,352 : x
  2. Step 2: Convert to fraction form
    394,936/564,352 = 564,352/x
  3. Step 3: Cross multiply
    394,936x = 564,352 × 564,352
  4. Step 4: Simplify right side
    394,936x = 318,493,179,904
  5. Step 5: Solve for x
    x = 318,493,179,904/394,936
  6. Step 6: Final answer
    x = 806,442.51

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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.