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Finding the Third Proportional to 251,305.88 and 509,901.75

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Solution

The third proportional to 251,305.88 and 509,901.75 is: 1,034,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,305.88 : 509,901.75 = 509,901.75 : x
  2. Step 2: Convert to fraction form
    251,305.88/509,901.75 = 509,901.75/x
  3. Step 3: Cross multiply
    251,305.88x = 509,901.75 × 509,901.75
  4. Step 4: Simplify right side
    251,305.88x = 259,999,794,653.06
  5. Step 5: Solve for x
    x = 259,999,794,653.06/251,305.88
  6. Step 6: Final answer
    x = 1,034,594.97

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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.