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Finding the Third Proportional to 337,640.63 and 515,035.13

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Solution

The third proportional to 337,640.63 and 515,035.13 is: 785,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,640.63 : 515,035.13 = 515,035.13 : x
  2. Step 2: Convert to fraction form
    337,640.63/515,035.13 = 515,035.13/x
  3. Step 3: Cross multiply
    337,640.63x = 515,035.13 × 515,035.13
  4. Step 4: Simplify right side
    337,640.63x = 265,261,179,983.77
  5. Step 5: Solve for x
    x = 265,261,179,983.77/337,640.63
  6. Step 6: Final answer
    x = 785,631.71

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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.