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Finding the Third Proportional to 234,849 and 335,728.50

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Solution

The third proportional to 234,849 and 335,728.50 is: 479,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,849 : 335,728.50 = 335,728.50 : x
  2. Step 2: Convert to fraction form
    234,849/335,728.50 = 335,728.50/x
  3. Step 3: Cross multiply
    234,849x = 335,728.50 × 335,728.50
  4. Step 4: Simplify right side
    234,849x = 112,713,625,712.25
  5. Step 5: Solve for x
    x = 112,713,625,712.25/234,849
  6. Step 6: Final answer
    x = 479,940.84

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.