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Finding the Third Proportional to 234,679.50 and 498,446.50

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Solution

The third proportional to 234,679.50 and 498,446.50 is: 1,058,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,679.50 : 498,446.50 = 498,446.50 : x
  2. Step 2: Convert to fraction form
    234,679.50/498,446.50 = 498,446.50/x
  3. Step 3: Cross multiply
    234,679.50x = 498,446.50 × 498,446.50
  4. Step 4: Simplify right side
    234,679.50x = 248,448,913,362.25
  5. Step 5: Solve for x
    x = 248,448,913,362.25/234,679.50
  6. Step 6: Final answer
    x = 1,058,673.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.