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Finding the Third Proportional to 232,562 and 504,652

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Solution

The third proportional to 232,562 and 504,652 is: 1,095,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,562 : 504,652 = 504,652 : x
  2. Step 2: Convert to fraction form
    232,562/504,652 = 504,652/x
  3. Step 3: Cross multiply
    232,562x = 504,652 × 504,652
  4. Step 4: Simplify right side
    232,562x = 254,673,641,104
  5. Step 5: Solve for x
    x = 254,673,641,104/232,562
  6. Step 6: Final answer
    x = 1,095,078.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.