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Finding the Third Proportional to 337,634.58 and 515,027.11

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Solution

The third proportional to 337,634.58 and 515,027.11 is: 785,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,634.58 : 515,027.11 = 515,027.11 : x
  2. Step 2: Convert to fraction form
    337,634.58/515,027.11 = 515,027.11/x
  3. Step 3: Cross multiply
    337,634.58x = 515,027.11 × 515,027.11
  4. Step 4: Simplify right side
    337,634.58x = 265,252,923,391.17
  5. Step 5: Solve for x
    x = 265,252,923,391.17/337,634.58
  6. Step 6: Final answer
    x = 785,621.32

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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.