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Finding the Third Proportional to 379,494 and 815,269.50

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Solution

The third proportional to 379,494 and 815,269.50 is: 1,751,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,494 : 815,269.50 = 815,269.50 : x
  2. Step 2: Convert to fraction form
    379,494/815,269.50 = 815,269.50/x
  3. Step 3: Cross multiply
    379,494x = 815,269.50 × 815,269.50
  4. Step 4: Simplify right side
    379,494x = 664,664,357,630.25
  5. Step 5: Solve for x
    x = 664,664,357,630.25/379,494
  6. Step 6: Final answer
    x = 1,751,448.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.