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Finding the Third Proportional to 337,704.50 and 513,519.50

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Solution

The third proportional to 337,704.50 and 513,519.50 is: 780,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,704.50 : 513,519.50 = 513,519.50 : x
  2. Step 2: Convert to fraction form
    337,704.50/513,519.50 = 513,519.50/x
  3. Step 3: Cross multiply
    337,704.50x = 513,519.50 × 513,519.50
  4. Step 4: Simplify right side
    337,704.50x = 263,702,276,880.25
  5. Step 5: Solve for x
    x = 263,702,276,880.25/337,704.50
  6. Step 6: Final answer
    x = 780,866.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.