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Finding the Third Proportional to 329,551.88 and 494,329.50

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Solution

The third proportional to 329,551.88 and 494,329.50 is: 741,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,551.88 : 494,329.50 = 494,329.50 : x
  2. Step 2: Convert to fraction form
    329,551.88/494,329.50 = 494,329.50/x
  3. Step 3: Cross multiply
    329,551.88x = 494,329.50 × 494,329.50
  4. Step 4: Simplify right side
    329,551.88x = 244,361,654,570.25
  5. Step 5: Solve for x
    x = 244,361,654,570.25/329,551.88
  6. Step 6: Final answer
    x = 741,496.78

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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.