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Finding the Third Proportional to 394,039.13 and 624,046.50

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Solution

The third proportional to 394,039.13 and 624,046.50 is: 988,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,039.13 : 624,046.50 = 624,046.50 : x
  2. Step 2: Convert to fraction form
    394,039.13/624,046.50 = 624,046.50/x
  3. Step 3: Cross multiply
    394,039.13x = 624,046.50 × 624,046.50
  4. Step 4: Simplify right side
    394,039.13x = 389,434,034,162.25
  5. Step 5: Solve for x
    x = 389,434,034,162.25/394,039.13
  6. Step 6: Final answer
    x = 988,313.11

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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.