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Finding the Third Proportional to 394,678 and 595,569

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Solution

The third proportional to 394,678 and 595,569 is: 898,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,678 : 595,569 = 595,569 : x
  2. Step 2: Convert to fraction form
    394,678/595,569 = 595,569/x
  3. Step 3: Cross multiply
    394,678x = 595,569 × 595,569
  4. Step 4: Simplify right side
    394,678x = 354,702,433,761
  5. Step 5: Solve for x
    x = 354,702,433,761/394,678
  6. Step 6: Final answer
    x = 898,713.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.