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Finding the Third Proportional to 394,848 and 610,728

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Solution

The third proportional to 394,848 and 610,728 is: 944,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,848 : 610,728 = 610,728 : x
  2. Step 2: Convert to fraction form
    394,848/610,728 = 610,728/x
  3. Step 3: Cross multiply
    394,848x = 610,728 × 610,728
  4. Step 4: Simplify right side
    394,848x = 372,988,689,984
  5. Step 5: Solve for x
    x = 372,988,689,984/394,848
  6. Step 6: Final answer
    x = 944,638.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.