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Finding the Third Proportional to 394,038.75 and 624,045.75

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Solution

The third proportional to 394,038.75 and 624,045.75 is: 988,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,038.75 : 624,045.75 = 624,045.75 : x
  2. Step 2: Convert to fraction form
    394,038.75/624,045.75 = 624,045.75/x
  3. Step 3: Cross multiply
    394,038.75x = 624,045.75 × 624,045.75
  4. Step 4: Simplify right side
    394,038.75x = 389,433,098,093.06
  5. Step 5: Solve for x
    x = 389,433,098,093.06/394,038.75
  6. Step 6: Final answer
    x = 988,311.68

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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.