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Finding the Third Proportional to 239,403.38 and 514,086.75

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Solution

The third proportional to 239,403.38 and 514,086.75 is: 1,103,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,403.38 : 514,086.75 = 514,086.75 : x
  2. Step 2: Convert to fraction form
    239,403.38/514,086.75 = 514,086.75/x
  3. Step 3: Cross multiply
    239,403.38x = 514,086.75 × 514,086.75
  4. Step 4: Simplify right side
    239,403.38x = 264,285,186,525.56
  5. Step 5: Solve for x
    x = 264,285,186,525.56/239,403.38
  6. Step 6: Final answer
    x = 1,103,932.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.