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Finding the Third Proportional to 232,722 and 344,724.75

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Solution

The third proportional to 232,722 and 344,724.75 is: 510,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,722 : 344,724.75 = 344,724.75 : x
  2. Step 2: Convert to fraction form
    232,722/344,724.75 = 344,724.75/x
  3. Step 3: Cross multiply
    232,722x = 344,724.75 × 344,724.75
  4. Step 4: Simplify right side
    232,722x = 118,835,153,262.56
  5. Step 5: Solve for x
    x = 118,835,153,262.56/232,722
  6. Step 6: Final answer
    x = 510,631.37

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.