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Finding the Third Proportional to 509,194.25 and 1,059,816

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Solution

The third proportional to 509,194.25 and 1,059,816 is: 2,205,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,194.25 : 1,059,816 = 1,059,816 : x
  2. Step 2: Convert to fraction form
    509,194.25/1,059,816 = 1,059,816/x
  3. Step 3: Cross multiply
    509,194.25x = 1,059,816 × 1,059,816
  4. Step 4: Simplify right side
    509,194.25x = 1,123,209,953,856
  5. Step 5: Solve for x
    x = 1,123,209,953,856/509,194.25
  6. Step 6: Final answer
    x = 2,205,857.50

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