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Finding the Third Proportional to 337,722.75 and 513,550.69

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Solution

The third proportional to 337,722.75 and 513,550.69 is: 780,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,722.75 : 513,550.69 = 513,550.69 : x
  2. Step 2: Convert to fraction form
    337,722.75/513,550.69 = 513,550.69/x
  3. Step 3: Cross multiply
    337,722.75x = 513,550.69 × 513,550.69
  4. Step 4: Simplify right side
    337,722.75x = 263,734,308,631.72
  5. Step 5: Solve for x
    x = 263,734,308,631.72/337,722.75
  6. Step 6: Final answer
    x = 780,919.58

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Why These Related Problems?

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