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Finding the Third Proportional to 347,949 and 763,141.50

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Solution

The third proportional to 347,949 and 763,141.50 is: 1,673,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,949 : 763,141.50 = 763,141.50 : x
  2. Step 2: Convert to fraction form
    347,949/763,141.50 = 763,141.50/x
  3. Step 3: Cross multiply
    347,949x = 763,141.50 × 763,141.50
  4. Step 4: Simplify right side
    347,949x = 582,384,949,022.25
  5. Step 5: Solve for x
    x = 582,384,949,022.25/347,949
  6. Step 6: Final answer
    x = 1,673,765.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.