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Finding the Third Proportional to 367,024.50 and 543,714.75

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Solution

The third proportional to 367,024.50 and 543,714.75 is: 805,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,024.50 : 543,714.75 = 543,714.75 : x
  2. Step 2: Convert to fraction form
    367,024.50/543,714.75 = 543,714.75/x
  3. Step 3: Cross multiply
    367,024.50x = 543,714.75 × 543,714.75
  4. Step 4: Simplify right side
    367,024.50x = 295,625,729,367.56
  5. Step 5: Solve for x
    x = 295,625,729,367.56/367,024.50
  6. Step 6: Final answer
    x = 805,465.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.