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Finding the Third Proportional to 232,561.50 and 500,619

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Solution

The third proportional to 232,561.50 and 500,619 is: 1,077,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,561.50 : 500,619 = 500,619 : x
  2. Step 2: Convert to fraction form
    232,561.50/500,619 = 500,619/x
  3. Step 3: Cross multiply
    232,561.50x = 500,619 × 500,619
  4. Step 4: Simplify right side
    232,561.50x = 250,619,383,161
  5. Step 5: Solve for x
    x = 250,619,383,161/232,561.50
  6. Step 6: Final answer
    x = 1,077,647.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.