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Finding the Third Proportional to 232,287.75 and 514,321.52

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Solution

The third proportional to 232,287.75 and 514,321.52 is: 1,138,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,287.75 : 514,321.52 = 514,321.52 : x
  2. Step 2: Convert to fraction form
    232,287.75/514,321.52 = 514,321.52/x
  3. Step 3: Cross multiply
    232,287.75x = 514,321.52 × 514,321.52
  4. Step 4: Simplify right side
    232,287.75x = 264,526,629,471.07
  5. Step 5: Solve for x
    x = 264,526,629,471.07/232,287.75
  6. Step 6: Final answer
    x = 1,138,788.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.