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Finding the Third Proportional to 337,633.31 and 515,025.19

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Solution

The third proportional to 337,633.31 and 515,025.19 is: 785,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,633.31 : 515,025.19 = 515,025.19 : x
  2. Step 2: Convert to fraction form
    337,633.31/515,025.19 = 515,025.19/x
  3. Step 3: Cross multiply
    337,633.31x = 515,025.19 × 515,025.19
  4. Step 4: Simplify right side
    337,633.31x = 265,250,943,759.41
  5. Step 5: Solve for x
    x = 265,250,943,759.41/337,633.31
  6. Step 6: Final answer
    x = 785,618.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.