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Finding the Third Proportional to 324,121.50 and 512,820

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Solution

The third proportional to 324,121.50 and 512,820 is: 811,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,121.50 : 512,820 = 512,820 : x
  2. Step 2: Convert to fraction form
    324,121.50/512,820 = 512,820/x
  3. Step 3: Cross multiply
    324,121.50x = 512,820 × 512,820
  4. Step 4: Simplify right side
    324,121.50x = 262,984,352,400
  5. Step 5: Solve for x
    x = 262,984,352,400/324,121.50
  6. Step 6: Final answer
    x = 811,375.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.