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Finding the Third Proportional to 394,033 and 624,037

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Solution

The third proportional to 394,033 and 624,037 is: 988,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,033 : 624,037 = 624,037 : x
  2. Step 2: Convert to fraction form
    394,033/624,037 = 624,037/x
  3. Step 3: Cross multiply
    394,033x = 624,037 × 624,037
  4. Step 4: Simplify right side
    394,033x = 389,422,177,369
  5. Step 5: Solve for x
    x = 389,422,177,369/394,033
  6. Step 6: Final answer
    x = 988,298.38

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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.