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Finding the Third Proportional to 394,045.50 and 624,057

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Solution

The third proportional to 394,045.50 and 624,057 is: 988,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,045.50 : 624,057 = 624,057 : x
  2. Step 2: Convert to fraction form
    394,045.50/624,057 = 624,057/x
  3. Step 3: Cross multiply
    394,045.50x = 624,057 × 624,057
  4. Step 4: Simplify right side
    394,045.50x = 389,447,139,249
  5. Step 5: Solve for x
    x = 389,447,139,249/394,045.50
  6. Step 6: Final answer
    x = 988,330.38

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