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Finding the Third Proportional to 367,848 and 494,329.50

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Solution

The third proportional to 367,848 and 494,329.50 is: 664,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,848 : 494,329.50 = 494,329.50 : x
  2. Step 2: Convert to fraction form
    367,848/494,329.50 = 494,329.50/x
  3. Step 3: Cross multiply
    367,848x = 494,329.50 × 494,329.50
  4. Step 4: Simplify right side
    367,848x = 244,361,654,570.25
  5. Step 5: Solve for x
    x = 244,361,654,570.25/367,848
  6. Step 6: Final answer
    x = 664,300.62

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.