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Finding the Third Proportional to 330,625 and 494,656.50

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Solution

The third proportional to 330,625 and 494,656.50 is: 740,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,625 : 494,656.50 = 494,656.50 : x
  2. Step 2: Convert to fraction form
    330,625/494,656.50 = 494,656.50/x
  3. Step 3: Cross multiply
    330,625x = 494,656.50 × 494,656.50
  4. Step 4: Simplify right side
    330,625x = 244,685,052,992.25
  5. Step 5: Solve for x
    x = 244,685,052,992.25/330,625
  6. Step 6: Final answer
    x = 740,068.21

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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.