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Finding the Third Proportional to 269,947.50 and 624,945.75

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Solution

The third proportional to 269,947.50 and 624,945.75 is: 1,446,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,947.50 : 624,945.75 = 624,945.75 : x
  2. Step 2: Convert to fraction form
    269,947.50/624,945.75 = 624,945.75/x
  3. Step 3: Cross multiply
    269,947.50x = 624,945.75 × 624,945.75
  4. Step 4: Simplify right side
    269,947.50x = 390,557,190,443.06
  5. Step 5: Solve for x
    x = 390,557,190,443.06/269,947.50
  6. Step 6: Final answer
    x = 1,446,789.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.