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Finding the Third Proportional to 263,959.50 and 424,991.25

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Solution

The third proportional to 263,959.50 and 424,991.25 is: 684,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,959.50 : 424,991.25 = 424,991.25 : x
  2. Step 2: Convert to fraction form
    263,959.50/424,991.25 = 424,991.25/x
  3. Step 3: Cross multiply
    263,959.50x = 424,991.25 × 424,991.25
  4. Step 4: Simplify right side
    263,959.50x = 180,617,562,576.56
  5. Step 5: Solve for x
    x = 180,617,562,576.56/263,959.50
  6. Step 6: Final answer
    x = 684,262.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.