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Finding the Third Proportional to 353,883.94 and 494,808.75

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Solution

The third proportional to 353,883.94 and 494,808.75 is: 691,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,883.94 : 494,808.75 = 494,808.75 : x
  2. Step 2: Convert to fraction form
    353,883.94/494,808.75 = 494,808.75/x
  3. Step 3: Cross multiply
    353,883.94x = 494,808.75 × 494,808.75
  4. Step 4: Simplify right side
    353,883.94x = 244,835,699,076.56
  5. Step 5: Solve for x
    x = 244,835,699,076.56/353,883.94
  6. Step 6: Final answer
    x = 691,853.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.