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Finding the Third Proportional to 236,694 and 509,473.50

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Solution

The third proportional to 236,694 and 509,473.50 is: 1,096,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,694 : 509,473.50 = 509,473.50 : x
  2. Step 2: Convert to fraction form
    236,694/509,473.50 = 509,473.50/x
  3. Step 3: Cross multiply
    236,694x = 509,473.50 × 509,473.50
  4. Step 4: Simplify right side
    236,694x = 259,563,247,202.25
  5. Step 5: Solve for x
    x = 259,563,247,202.25/236,694
  6. Step 6: Final answer
    x = 1,096,619.46

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