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Finding the Third Proportional to 300,988.50 and 496,231.50

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Solution

The third proportional to 300,988.50 and 496,231.50 is: 818,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,988.50 : 496,231.50 = 496,231.50 : x
  2. Step 2: Convert to fraction form
    300,988.50/496,231.50 = 496,231.50/x
  3. Step 3: Cross multiply
    300,988.50x = 496,231.50 × 496,231.50
  4. Step 4: Simplify right side
    300,988.50x = 246,245,701,592.25
  5. Step 5: Solve for x
    x = 246,245,701,592.25/300,988.50
  6. Step 6: Final answer
    x = 818,123.29

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.