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Finding the Third Proportional to 329,526.35 and 494,289.84

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Solution

The third proportional to 329,526.35 and 494,289.84 is: 741,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,526.35 : 494,289.84 = 494,289.84 : x
  2. Step 2: Convert to fraction form
    329,526.35/494,289.84 = 494,289.84/x
  3. Step 3: Cross multiply
    329,526.35x = 494,289.84 × 494,289.84
  4. Step 4: Simplify right side
    329,526.35x = 244,322,449,634.40
  5. Step 5: Solve for x
    x = 244,322,449,634.40/329,526.35
  6. Step 6: Final answer
    x = 741,435.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.