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Finding the Third Proportional to 394,032.38 and 624,036.38

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Solution

The third proportional to 394,032.38 and 624,036.38 is: 988,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,032.38 : 624,036.38 = 624,036.38 : x
  2. Step 2: Convert to fraction form
    394,032.38/624,036.38 = 624,036.38/x
  3. Step 3: Cross multiply
    394,032.38x = 624,036.38 × 624,036.38
  4. Step 4: Simplify right side
    394,032.38x = 389,421,397,323.14
  5. Step 5: Solve for x
    x = 389,421,397,323.14/394,032.38
  6. Step 6: Final answer
    x = 988,297.97

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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.