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Finding the Third Proportional to 337,550.63 and 512,890.31

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Solution

The third proportional to 337,550.63 and 512,890.31 is: 779,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,550.63 : 512,890.31 = 512,890.31 : x
  2. Step 2: Convert to fraction form
    337,550.63/512,890.31 = 512,890.31/x
  3. Step 3: Cross multiply
    337,550.63x = 512,890.31 × 512,890.31
  4. Step 4: Simplify right side
    337,550.63x = 263,056,472,656.35
  5. Step 5: Solve for x
    x = 263,056,472,656.35/337,550.63
  6. Step 6: Final answer
    x = 779,309.69

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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.