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Finding the Third Proportional to 329,554 and 494,333

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Solution

The third proportional to 329,554 and 494,333 is: 741,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,554 : 494,333 = 494,333 : x
  2. Step 2: Convert to fraction form
    329,554/494,333 = 494,333/x
  3. Step 3: Cross multiply
    329,554x = 494,333 × 494,333
  4. Step 4: Simplify right side
    329,554x = 244,365,114,889
  5. Step 5: Solve for x
    x = 244,365,114,889/329,554
  6. Step 6: Final answer
    x = 741,502.50

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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.