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Finding the Third Proportional to 330,629.98 and 494,663.52

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Solution

The third proportional to 330,629.98 and 494,663.52 is: 740,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,629.98 : 494,663.52 = 494,663.52 : x
  2. Step 2: Convert to fraction form
    330,629.98/494,663.52 = 494,663.52/x
  3. Step 3: Cross multiply
    330,629.98x = 494,663.52 × 494,663.52
  4. Step 4: Simplify right side
    330,629.98x = 244,691,997,555.04
  5. Step 5: Solve for x
    x = 244,691,997,555.04/330,629.98
  6. Step 6: Final answer
    x = 740,078.08

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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.