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Finding the Third Proportional to 394,037 and 624,044

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Solution

The third proportional to 394,037 and 624,044 is: 988,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,037 : 624,044 = 624,044 : x
  2. Step 2: Convert to fraction form
    394,037/624,044 = 624,044/x
  3. Step 3: Cross multiply
    394,037x = 624,044 × 624,044
  4. Step 4: Simplify right side
    394,037x = 389,430,913,936
  5. Step 5: Solve for x
    x = 389,430,913,936/394,037
  6. Step 6: Final answer
    x = 988,310.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.