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Finding the Third Proportional to 509,231.25 and 1,060,288.88

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Solution

The third proportional to 509,231.25 and 1,060,288.88 is: 2,207,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,231.25 : 1,060,288.88 = 1,060,288.88 : x
  2. Step 2: Convert to fraction form
    509,231.25/1,060,288.88 = 1,060,288.88/x
  3. Step 3: Cross multiply
    509,231.25x = 1,060,288.88 × 1,060,288.88
  4. Step 4: Simplify right side
    509,231.25x = 1,124,212,498,448.77
  5. Step 5: Solve for x
    x = 1,124,212,498,448.77/509,231.25
  6. Step 6: Final answer
    x = 2,207,665.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.