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Finding the Third Proportional to 394,958 and 564,395

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Solution

The third proportional to 394,958 and 564,395 is: 806,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,958 : 564,395 = 564,395 : x
  2. Step 2: Convert to fraction form
    394,958/564,395 = 564,395/x
  3. Step 3: Cross multiply
    394,958x = 564,395 × 564,395
  4. Step 4: Simplify right side
    394,958x = 318,541,716,025
  5. Step 5: Solve for x
    x = 318,541,716,025/394,958
  6. Step 6: Final answer
    x = 806,520.48

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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.