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Finding the Third Proportional to 337,639.75 and 515,034.50

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Solution

The third proportional to 337,639.75 and 515,034.50 is: 785,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,639.75 : 515,034.50 = 515,034.50 : x
  2. Step 2: Convert to fraction form
    337,639.75/515,034.50 = 515,034.50/x
  3. Step 3: Cross multiply
    337,639.75x = 515,034.50 × 515,034.50
  4. Step 4: Simplify right side
    337,639.75x = 265,260,536,190.25
  5. Step 5: Solve for x
    x = 265,260,536,190.25/337,639.75
  6. Step 6: Final answer
    x = 785,631.83

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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.