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Finding the Third Proportional to 250,489.97 and 509,727.94

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Solution

The third proportional to 250,489.97 and 509,727.94 is: 1,037,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,489.97 : 509,727.94 = 509,727.94 : x
  2. Step 2: Convert to fraction form
    250,489.97/509,727.94 = 509,727.94/x
  3. Step 3: Cross multiply
    250,489.97x = 509,727.94 × 509,727.94
  4. Step 4: Simplify right side
    250,489.97x = 259,822,570,268.00
  5. Step 5: Solve for x
    x = 259,822,570,268.00/250,489.97
  6. Step 6: Final answer
    x = 1,037,257.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.