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Finding the Third Proportional to 337,643.25 and 515,040.75

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Solution

The third proportional to 337,643.25 and 515,040.75 is: 785,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643.25 : 515,040.75 = 515,040.75 : x
  2. Step 2: Convert to fraction form
    337,643.25/515,040.75 = 515,040.75/x
  3. Step 3: Cross multiply
    337,643.25x = 515,040.75 × 515,040.75
  4. Step 4: Simplify right side
    337,643.25x = 265,266,974,160.56
  5. Step 5: Solve for x
    x = 265,266,974,160.56/337,643.25
  6. Step 6: Final answer
    x = 785,642.76

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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.