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Finding the Third Proportional to 232,826.63 and 419,406.75

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Solution

The third proportional to 232,826.63 and 419,406.75 is: 755,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,826.63 : 419,406.75 = 419,406.75 : x
  2. Step 2: Convert to fraction form
    232,826.63/419,406.75 = 419,406.75/x
  3. Step 3: Cross multiply
    232,826.63x = 419,406.75 × 419,406.75
  4. Step 4: Simplify right side
    232,826.63x = 175,902,021,945.56
  5. Step 5: Solve for x
    x = 175,902,021,945.56/232,826.63
  6. Step 6: Final answer
    x = 755,506.47

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.